chrono::fsi Namespace Reference

Description

Namespace with classes for the FSI module.

Classes
class	ChBce
	Base class for processing boundary condition enforcing (BCE) particle forces in an FSI system. More...
class	ChCollisionSystemFsi
	Base class for processing proximity computation in an FSI system. More...
struct	ChCounters
	Number of rigid and flexible solid bodies, fluid SPH particles, solid SPH particles, boundary SPH particles. More...
class	ChFluidDynamics
	Class to represent the fluid/granular dynamics system. More...
class	ChFsiForce
	Base class to calculate force between SPH particles. More...
class	ChFsiForceExplicitSPH
	Child class of ChFsiForce. More...
class	ChFsiForceI2SPH
	Derived class of ChFsiForce that implements the I2SPH method. More...
class	ChFsiForceIISPH
	Derived class of ChFsiForce that implements the IISPH method. More...
class	ChFsiGeneral
	Class for FSI properties and functions. More...
class	ChFsiInterface
	Base class for processing the interface between Chrono and FSI modules. More...
class	ChFsiLinearSolver
	Base class for solving linear systems on GPUs. More...
class	ChFsiLinearSolverBiCGStab
	BiCG-Stab iterative linear solver. More...
class	ChFsiLinearSolverGMRES
	GMRES iterative linear solver. More...
struct	ChronoBodiesDataH
	Struct to store Chrono rigid bodies information on the host. More...
struct	ChronoMeshDataH
	Struct to store Chrono mesh information on the host. More...
class	ChSystemFsi
	Physical system for fluid-solid interaction problems. More...
class	ChSystemFsi_impl
	Data related function implementations for FSI system. More...
class	ChUtilsDevice
	Utilities for thrust device vectors. More...
class	ChVisualizationFsi
	Run-time visualization support for Chrono::FSI systems. More...
struct	FsiBodiesDataD
	Struct to store the information of rigid bodies on the device. More...
struct	FsiBodiesDataH
	Struct to store the information of rigid bodies on the host. More...
struct	FsiGeneralData
	Struct to store fluid/granular system information that need to be passed to Chrono. More...
struct	FsiMeshDataD
	Struct to store the information of mesh on the device. More...
struct	FsiMeshDataH
	Struct to store the information of mesh on the host. More...
struct	FsiShellsDataD
	Struct to store the information of shell elements on the device. More...
struct	FsiShellsDataH
	Struct to store the information of shell elements on the host. More...
class	GpuTimer
	Time recorder for cuda events. More...
struct	ProximityDataD
	Struct to store neighbor search information on the device. More...
struct	SimParams
	Structure with FSI simulation parameters. More...
struct	SphMarkerDataD
	Struct to store the information of SPH particles on the device. More...
struct	SphMarkerDataH
	Struct to store the information of SPH particles on the host. More...

Typedefs
typedef float	Real
	Define the real type used in FSI (float or double).
typedef unsigned int	uint
	Define the unsigned int type used in FSI.
typedef unsigned short	ushort
	Define the unsigned short type used in FSI.
typedef thrust::device_vector< Real3 >::iterator	r3IterD
	typedef device iterators for shorthand SPH operation of thrust vectors of Real3
typedef thrust::device_vector< Real4 >::iterator	r4IterD
	typedef device iterators for shorthand SPH operation of thrust vectors of Real4
typedef thrust::tuple< r4IterD, r3IterD, r4IterD, r3IterD, r3IterD >	iterTupleSphD
	typedef device tuple for holding SPH data pos,vel,[rho,pressure,mu,type]
typedef thrust::zip_iterator< iterTupleSphD >	zipIterSphD
typedef thrust::host_vector< Real3 >::iterator	r3IterH
	typedef host iterators for shorthand SPH operation of thrust vectors of Real3
typedef thrust::host_vector< Real4 >::iterator	r4IterH
	typedef host iterators for shorthand SPH operation of thrust vectors of Real4
typedef thrust::tuple< r4IterH, r3IterH, r4IterH, r3IterH, r3IterH >	iterTupleH
	typedef host tuple for holding SPH data pos,vel,[rho,pressure,mu,type]
typedef thrust::zip_iterator< iterTupleH >	zipIterSphH
typedef thrust::tuple< r3IterD, r4IterD, r3IterD, r4IterD, r3IterD, r3IterD >	iterTupleRigidD
	typedef device iterators for shorthand rigid body states: pos,orientation in position, velocity and acceleration level
typedef thrust::zip_iterator< iterTupleRigidD >	zipIterRigidD
typedef thrust::tuple< r3IterH, r4IterH, r3IterH, r4IterH, r3IterH, r3IterH >	iterTupleRigidH
	typedef host iterators for shorthand rigid body states: pos,orientation in position, velocity and acceleration level
typedef thrust::zip_iterator< iterTupleRigidH >	zipIterRigidH
typedef thrust::tuple< r3IterH, r3IterH, r3IterH, r4IterH, r3IterH, r3IterH >	iterTupleChronoBodiesH
	typedef device iterators for shorthand chrono bodies operations
typedef thrust::zip_iterator< iterTupleChronoBodiesH >	zipIterChronoBodiesH

Enumerations
enum	BceVersion { ADAMI = 0, ORIGINAL = 1 }
	Approach to handle BCE particles.
enum	PPESolutionType { MATRIX_FREE, FORM_SPARSE_MATRIX }
	PPE solution type.
enum	Rheology { INERTIA_RHEOLOGY, NONLOCAL_FLUIDITY }
	Rheology type.
enum	FrictionLaw { CONSTANT, LINEAR, NONLINEAR }
	Friction law in ISPH.
enum	FluidDynamics { IISPH, I2SPH, WCSPH }
	Dynamics solver type for fluid/granular.
enum	TimeIntegrator { EXPLICITSPH, IISPH, I2SPH }
	Time integration method.
enum	SolverType {   JACOBI, BICGSTAB, GMRES, CR,   CG, SAP }
	Linear solver type.

Functions
Real3	LoadVectorJSON (const Value &a)
void	printMatrix (const Real *A, int Ny, int Nx)
void	GeneratePlaneRotation (const Real &dx, const Real &dy, Real &cs, Real &sn)
void	ApplyPlaneRotation (Real &dx, Real &dy, const Real &cs, const Real &sn)
void	PlaneRotation (Real *H, Real *cs, Real *sn, Real *s, const int i, const int restart)
__host__ __device__ float	fminf (float a, float b)
	Return the minimum of two single precision numbers.
__host__ __device__ float	fmaxf (float a, float b)
	Return the maximum of two single precision numbers.
__host__ __device__ int	max (int a, int b)
	Return the maximum of two integer numbers.
__host__ __device__ int	min (int a, int b)
	Return the minimum of two integer numbers.
__host__ __device__ float	rsqrtf (float x)
	Return the reciprocal square root of a single precision number.
__host__ __device__ Real	square (Real a)
	Square a float value.
__host__ __device__ Real	cube (Real a)
	Cube a float value.
__host__ __device__ Real	quartic (Real a)
	Quartic a float value.
__host__ __device__ Real	quintic (Real a)
	Quintic a float value.
__VECTOR_FUNCTIONS_DECL__ uint2	make_uint2 (unsigned int x, unsigned int y)
	Make a vector with two unsigned integer elements.
__VECTOR_FUNCTIONS_DECL__ uint3	make_uint3 (unsigned int x, unsigned int y, unsigned int z)
	Make a vector with three unsigned integer elements.
__VECTOR_FUNCTIONS_DECL__ uint4	make_uint4 (unsigned int x, unsigned int y, unsigned int z, unsigned int w)
	Make a vector with four unsigned integer elements.
__VECTOR_FUNCTIONS_DECL__ int2	make_int2 (int x, int y)
	Make a vector with two integer elements.
__VECTOR_FUNCTIONS_DECL__ int3	make_int3 (int x, int y, int z)
	Make a vector with three integer elements.
__VECTOR_FUNCTIONS_DECL__ int4	make_int4 (int x, int y, int z, int w)
	Make a vector with four integer elements.
__VECTOR_FUNCTIONS_DECL__ float2	make_float2 (float x, float y)
	Make a vector with two float elements.
__VECTOR_FUNCTIONS_DECL__ float3	make_float3 (float x, float y, float z)
	Make a vector with three float elements.
__VECTOR_FUNCTIONS_DECL__ float4	make_float4 (float x, float y, float z, float w)
	Make a vector with four float elements.
__VECTOR_FUNCTIONS_DECL__ double2	make_double2 (double x, double y)
	Make a vector with two double elements.
__VECTOR_FUNCTIONS_DECL__ double3	make_double3 (double x, double y, double z)
	Make a vector with three double elements.
__VECTOR_FUNCTIONS_DECL__ double4	make_double4 (double x, double y, double z, double w)
	Make a vector with four double elements.
__host__ __device__ float2	make_float2 (float s)
__host__ __device__ float2	make_float2 (float3 a)
__host__ __device__ float2	make_float2 (int2 a)
__host__ __device__ float2	make_float2 (uint2 a)
__host__ __device__ int2	make_int2 (int s)
__host__ __device__ int2	make_int2 (int3 a)
__host__ __device__ int2	make_int2 (int4 a)
__host__ __device__ int2	make_int2 (uint2 a)
__host__ __device__ int2	make_int2 (float2 a)
__host__ __device__ uint2	make_uint2 (uint s)
__host__ __device__ uint2	make_uint2 (uint3 a)
__host__ __device__ uint2	make_uint2 (int2 a)
__host__ __device__ float3	make_float3 (float s)
__host__ __device__ float3	make_float3 (float2 a)
__host__ __device__ float3	make_float3 (float2 a, float s)
__host__ __device__ float3	make_float3 (float4 a)
__host__ __device__ float3	make_float3 (int3 a)
__host__ __device__ float3	make_float3 (uint3 a)
__host__ __device__ int3	make_int3 (int s)
__host__ __device__ int3	make_int3 (int2 a)
__host__ __device__ int3	make_int3 (int2 a, int s)
__host__ __device__ int3	make_int3 (uint3 a)
__host__ __device__ int3	make_int3 (float3 a)
__host__ __device__ uint3	make_uint3 (uint s)
__host__ __device__ uint3	make_uint3 (uint2 a)
__host__ __device__ uint3	make_uint3 (uint2 a, uint s)
__host__ __device__ uint3	make_uint3 (uint4 a)
__host__ __device__ uint3	make_uint3 (int3 a)
__host__ __device__ float4	make_float4 (float s)
__host__ __device__ float4	make_float4 (float3 a)
__host__ __device__ float4	make_float4 (float3 a, float w)
__host__ __device__ float4	make_float4 (int4 a)
__host__ __device__ float4	make_float4 (uint4 a)
__host__ __device__ int4	make_int4 (int s)
__host__ __device__ int4	make_int4 (int3 a)
__host__ __device__ int4	make_int4 (int3 a, int w)
__host__ __device__ int4	make_int4 (uint4 a)
__host__ __device__ int4	make_int4 (float4 a)
__host__ __device__ uint4	make_uint4 (uint s)
__host__ __device__ uint4	make_uint4 (uint3 a)
__host__ __device__ uint4	make_uint4 (uint3 a, uint w)
__host__ __device__ uint4	make_uint4 (int4 a)
__host__ __device__ float2	operator- (float2 &a)
__host__ __device__ int2	operator- (int2 &a)
__host__ __device__ float3	operator- (float3 &a)
__host__ __device__ int3	operator- (int3 &a)
__host__ __device__ float4	operator- (float4 &a)
__host__ __device__ int4	operator- (int4 &a)
__host__ __device__ float2	operator+ (float2 a, float2 b)
__host__ __device__ void	operator+= (float2 &a, float2 b)
__host__ __device__ float2	operator+ (float2 a, float b)
__host__ __device__ float2	operator+ (float b, float2 a)
__host__ __device__ void	operator+= (float2 &a, float b)
__host__ __device__ int2	operator+ (int2 a, int2 b)
__host__ __device__ void	operator+= (int2 &a, int2 b)
__host__ __device__ int2	operator+ (int2 a, int b)
__host__ __device__ int2	operator+ (int b, int2 a)
__host__ __device__ void	operator+= (int2 &a, int b)
__host__ __device__ uint2	operator+ (uint2 a, uint2 b)
__host__ __device__ void	operator+= (uint2 &a, uint2 b)
__host__ __device__ uint2	operator+ (uint2 a, uint b)
__host__ __device__ uint2	operator+ (uint b, uint2 a)
__host__ __device__ void	operator+= (uint2 &a, uint b)
__host__ __device__ float3	operator+ (float3 a, float3 b)
__host__ __device__ void	operator+= (float3 &a, float3 b)
__host__ __device__ float3	operator+ (float3 a, float b)
__host__ __device__ void	operator+= (float3 &a, float b)
__host__ __device__ int3	operator+ (int3 a, int3 b)
__host__ __device__ void	operator+= (int3 &a, int3 b)
__host__ __device__ int3	operator+ (int3 a, int b)
__host__ __device__ void	operator+= (int3 &a, int b)
__host__ __device__ uint3	operator+ (uint3 a, uint3 b)
__host__ __device__ void	operator+= (uint3 &a, uint3 b)
__host__ __device__ uint3	operator+ (uint3 a, uint b)
__host__ __device__ void	operator+= (uint3 &a, uint b)
__host__ __device__ int3	operator+ (int b, int3 a)
__host__ __device__ uint3	operator+ (uint b, uint3 a)
__host__ __device__ float3	operator+ (float b, float3 a)
__host__ __device__ float4	operator+ (float4 a, float4 b)
__host__ __device__ void	operator+= (float4 &a, float4 b)
__host__ __device__ float4	operator+ (float4 a, float b)
__host__ __device__ float4	operator+ (float b, float4 a)
__host__ __device__ void	operator+= (float4 &a, float b)
__host__ __device__ int4	operator+ (int4 a, int4 b)
__host__ __device__ void	operator+= (int4 &a, int4 b)
__host__ __device__ int4	operator+ (int4 a, int b)
__host__ __device__ int4	operator+ (int b, int4 a)
__host__ __device__ void	operator+= (int4 &a, int b)
__host__ __device__ uint4	operator+ (uint4 a, uint4 b)
__host__ __device__ void	operator+= (uint4 &a, uint4 b)
__host__ __device__ uint4	operator+ (uint4 a, uint b)
__host__ __device__ uint4	operator+ (uint b, uint4 a)
__host__ __device__ void	operator+= (uint4 &a, uint b)
__host__ __device__ float2	operator- (float2 a, float2 b)
__host__ __device__ void	operator-= (float2 &a, float2 b)
__host__ __device__ float2	operator- (float2 a, float b)
__host__ __device__ float2	operator- (float b, float2 a)
__host__ __device__ void	operator-= (float2 &a, float b)
__host__ __device__ int2	operator- (int2 a, int2 b)
__host__ __device__ void	operator-= (int2 &a, int2 b)
__host__ __device__ int2	operator- (int2 a, int b)
__host__ __device__ int2	operator- (int b, int2 a)
__host__ __device__ void	operator-= (int2 &a, int b)
__host__ __device__ uint2	operator- (uint2 a, uint2 b)
__host__ __device__ void	operator-= (uint2 &a, uint2 b)
__host__ __device__ uint2	operator- (uint2 a, uint b)
__host__ __device__ uint2	operator- (uint b, uint2 a)
__host__ __device__ void	operator-= (uint2 &a, uint b)
__host__ __device__ float3	operator- (float3 a, float3 b)
__host__ __device__ void	operator-= (float3 &a, float3 b)
__host__ __device__ float3	operator- (float3 a, float b)
__host__ __device__ float3	operator- (float b, float3 a)
__host__ __device__ void	operator-= (float3 &a, float b)
__host__ __device__ int3	operator- (int3 a, int3 b)
__host__ __device__ void	operator-= (int3 &a, int3 b)
__host__ __device__ int3	operator- (int3 a, int b)
__host__ __device__ int3	operator- (int b, int3 a)
__host__ __device__ void	operator-= (int3 &a, int b)
__host__ __device__ uint3	operator- (uint3 a, uint3 b)
__host__ __device__ void	operator-= (uint3 &a, uint3 b)
__host__ __device__ uint3	operator- (uint3 a, uint b)
__host__ __device__ uint3	operator- (uint b, uint3 a)
__host__ __device__ void	operator-= (uint3 &a, uint b)
__host__ __device__ float4	operator- (float4 a, float4 b)
__host__ __device__ void	operator-= (float4 &a, float4 b)
__host__ __device__ float4	operator- (float4 a, float b)
__host__ __device__ void	operator-= (float4 &a, float b)
__host__ __device__ int4	operator- (int4 a, int4 b)
__host__ __device__ void	operator-= (int4 &a, int4 b)
__host__ __device__ int4	operator- (int4 a, int b)
__host__ __device__ int4	operator- (int b, int4 a)
__host__ __device__ void	operator-= (int4 &a, int b)
__host__ __device__ uint4	operator- (uint4 a, uint4 b)
__host__ __device__ void	operator-= (uint4 &a, uint4 b)
__host__ __device__ uint4	operator- (uint4 a, uint b)
__host__ __device__ uint4	operator- (uint b, uint4 a)
__host__ __device__ void	operator-= (uint4 &a, uint b)
__host__ __device__ float2	operator* (float2 a, float2 b)
__host__ __device__ void	operator*= (float2 &a, float2 b)
__host__ __device__ float2	operator* (float2 a, float b)
__host__ __device__ float2	operator* (float b, float2 a)
__host__ __device__ void	operator*= (float2 &a, float b)
__host__ __device__ int2	operator* (int2 a, int2 b)
__host__ __device__ void	operator*= (int2 &a, int2 b)
__host__ __device__ int2	operator* (int2 a, int b)
__host__ __device__ int2	operator* (int b, int2 a)
__host__ __device__ void	operator*= (int2 &a, int b)
__host__ __device__ uint2	operator* (uint2 a, uint2 b)
__host__ __device__ void	operator*= (uint2 &a, uint2 b)
__host__ __device__ uint2	operator* (uint2 a, uint b)
__host__ __device__ uint2	operator* (uint b, uint2 a)
__host__ __device__ void	operator*= (uint2 &a, uint b)
__host__ __device__ float3	operator* (float3 a, float3 b)
__host__ __device__ void	operator*= (float3 &a, float3 b)
__host__ __device__ float3	operator* (float3 a, float b)
__host__ __device__ float3	operator* (float b, float3 a)
__host__ __device__ void	operator*= (float3 &a, float b)
__host__ __device__ int3	operator* (int3 a, int3 b)
__host__ __device__ void	operator*= (int3 &a, int3 b)
__host__ __device__ int3	operator* (int3 a, int b)
__host__ __device__ int3	operator* (int b, int3 a)
__host__ __device__ void	operator*= (int3 &a, int b)
__host__ __device__ uint3	operator* (uint3 a, uint3 b)
__host__ __device__ void	operator*= (uint3 &a, uint3 b)
__host__ __device__ uint3	operator* (uint3 a, uint b)
__host__ __device__ uint3	operator* (uint b, uint3 a)
__host__ __device__ void	operator*= (uint3 &a, uint b)
__host__ __device__ float4	operator* (float4 a, float4 b)
__host__ __device__ void	operator*= (float4 &a, float4 b)
__host__ __device__ float4	operator* (float4 a, float b)
__host__ __device__ float4	operator* (float b, float4 a)
__host__ __device__ void	operator*= (float4 &a, float b)
__host__ __device__ int4	operator* (int4 a, int4 b)
__host__ __device__ void	operator*= (int4 &a, int4 b)
__host__ __device__ int4	operator* (int4 a, int b)
__host__ __device__ int4	operator* (int b, int4 a)
__host__ __device__ void	operator*= (int4 &a, int b)
__host__ __device__ uint4	operator* (uint4 a, uint4 b)
__host__ __device__ void	operator*= (uint4 &a, uint4 b)
__host__ __device__ uint4	operator* (uint4 a, uint b)
__host__ __device__ uint4	operator* (uint b, uint4 a)
__host__ __device__ void	operator*= (uint4 &a, uint b)
__host__ __device__ float2	operator/ (float2 a, float2 b)
__host__ __device__ void	operator/= (float2 &a, float2 b)
__host__ __device__ float2	operator/ (float2 a, float b)
__host__ __device__ void	operator/= (float2 &a, float b)
__host__ __device__ float2	operator/ (float b, float2 a)
__host__ __device__ float3	operator/ (float3 a, float3 b)
__host__ __device__ void	operator/= (float3 &a, float3 b)
__host__ __device__ float3	operator/ (float3 a, float b)
__host__ __device__ void	operator/= (float3 &a, float b)
__host__ __device__ float3	operator/ (float b, float3 a)
__host__ __device__ float4	operator/ (float4 a, float4 b)
__host__ __device__ void	operator/= (float4 &a, float4 b)
__host__ __device__ float4	operator/ (float4 a, float b)
__host__ __device__ void	operator/= (float4 &a, float b)
__host__ __device__ float4	operator/ (float b, float4 a)
__host__ __device__ float2	fminf (float2 a, float2 b)
__host__ __device__ float3	fminf (float3 a, float3 b)
__host__ __device__ float4	fminf (float4 a, float4 b)
__host__ __device__ int2	min (int2 a, int2 b)
__host__ __device__ int3	min (int3 a, int3 b)
__host__ __device__ int4	min (int4 a, int4 b)
__host__ __device__ uint2	min (uint2 a, uint2 b)
__host__ __device__ uint3	min (uint3 a, uint3 b)
__host__ __device__ uint4	min (uint4 a, uint4 b)
__host__ __device__ float2	fmaxf (float2 a, float2 b)
__host__ __device__ float3	fmaxf (float3 a, float3 b)
__host__ __device__ float4	fmaxf (float4 a, float4 b)
__host__ __device__ int2	max (int2 a, int2 b)
__host__ __device__ int3	max (int3 a, int3 b)
__host__ __device__ int4	max (int4 a, int4 b)
__host__ __device__ uint2	max (uint2 a, uint2 b)
__host__ __device__ uint3	max (uint3 a, uint3 b)
__host__ __device__ uint4	max (uint4 a, uint4 b)
__device__ __host__ float	lerp (float a, float b, float t)
__device__ __host__ float2	lerp (float2 a, float2 b, float t)
__device__ __host__ float3	lerp (float3 a, float3 b, float t)
__device__ __host__ float4	lerp (float4 a, float4 b, float t)
__host__ __device__ float	dot (float2 a, float2 b)
__host__ __device__ float	dot (float3 a, float3 b)
__host__ __device__ float	dot (float4 a, float4 b)
__host__ __device__ int	dot (int2 a, int2 b)
__host__ __device__ int	dot (int3 a, int3 b)
__host__ __device__ int	dot (int4 a, int4 b)
__host__ __device__ uint	dot (uint2 a, uint2 b)
__host__ __device__ uint	dot (uint3 a, uint3 b)
__host__ __device__ uint	dot (uint4 a, uint4 b)
__host__ __device__ float	length (float2 v)
__host__ __device__ float	length (float3 v)
__host__ __device__ float	length (float4 v)
__host__ __device__ float2	normalize (float2 v)
__host__ __device__ float3	normalize (float3 v)
__host__ __device__ float4	normalize (float4 v)
__host__ __device__ float3	cross (float3 a, float3 b)
__host__ __device__ Real	rminr (Real a, Real b)
__host__ __device__ Real	rmaxr (Real a, Real b)
__host__ __device__ Real	rsqrtr (Real x)
__host__ __device__ Real2	make_Real2 (Real b, Real c)
__host__ __device__ Real2	make_Real2 (Real s)
__host__ __device__ Real2	make_Real2 (Real3 a)
__host__ __device__ Real2	make_Real2 (int2 a)
__host__ __device__ Real2	make_Real2 (uint2 a)
__host__ __device__ int2	make_int2 (Real2 a)
__host__ __device__ Real3	make_Real3 (Real a, Real b, Real c)
__host__ __device__ Real3	make_Real3 (Real s)
__host__ __device__ Real3	make_Real3 (Real2 a)
__host__ __device__ Real3	make_Real3 (Real2 a, Real s)
__host__ __device__ Real3	make_Real3 (Real4 a)
__host__ __device__ Real3	make_Real3 (int3 a)
__host__ __device__ Real3	make_Real3 (uint3 a)
__host__ __device__ int3	make_int3 (Real3 a)
__host__ __device__ Real3	make_Real3 (Real3 a)
__host__ __device__ Real4	make_Real4 (Real a, Real b, Real c, Real d)
__host__ __device__ Real4	make_Real4 (Real s)
__host__ __device__ Real4	make_Real4 (Real3 a)
__host__ __device__ Real4	make_Real4 (Real3 a, Real w)
__host__ __device__ Real4	make_Real4 (Real4 a)
__host__ __device__ Real4	make_Real4 (int4 a)
__host__ __device__ Real4	make_Real4 (uint4 a)
__host__ __device__ int4	make_int4 (Real4 a)
__host__ __device__ Real2	operator- (Real2 &a)
__host__ __device__ Real3	operator- (Real3 &a)
__host__ __device__ Real4	operator- (Real4 &a)
__host__ __device__ Real2	operator+ (Real2 a, Real2 b)
__host__ __device__ void	operator+= (Real2 &a, Real2 b)
__host__ __device__ Real2	operator+ (Real2 a, Real b)
__host__ __device__ Real2	operator+ (Real b, Real2 a)
__host__ __device__ void	operator+= (Real2 &a, Real b)
__host__ __device__ Real3	operator+ (Real3 a, Real3 b)
__host__ __device__ void	operator+= (Real3 &a, Real3 b)
__host__ __device__ Real3	operator+ (Real3 a, Real b)
__host__ __device__ void	operator+= (Real3 &a, Real b)
__host__ __device__ Real3	operator+ (Real b, Real3 a)
__host__ __device__ Real4	operator+ (Real4 a, Real4 b)
__host__ __device__ void	operator+= (Real4 &a, Real4 b)
__host__ __device__ Real4	operator+ (Real4 a, Real b)
__host__ __device__ Real4	operator+ (Real b, Real4 a)
__host__ __device__ void	operator+= (Real4 &a, Real b)
__host__ __device__ Real2	operator- (Real2 a, Real2 b)
__host__ __device__ void	operator-= (Real2 &a, Real2 b)
__host__ __device__ Real2	operator- (Real2 a, Real b)
__host__ __device__ Real2	operator- (Real b, Real2 a)
__host__ __device__ void	operator-= (Real2 &a, Real b)
__host__ __device__ Real3	operator- (Real3 a, Real3 b)
__host__ __device__ void	operator-= (Real3 &a, Real3 b)
__host__ __device__ Real3	operator- (Real3 a, Real b)
__host__ __device__ Real3	operator- (Real b, Real3 a)
__host__ __device__ void	operator-= (Real3 &a, Real b)
__host__ __device__ Real4	operator- (Real4 a, Real4 b)
__host__ __device__ void	operator-= (Real4 &a, Real4 b)
__host__ __device__ Real4	operator- (Real4 a, Real b)
__host__ __device__ void	operator-= (Real4 &a, Real b)
__host__ __device__ Real2	operator* (Real2 a, Real2 b)
__host__ __device__ void	operator*= (Real2 &a, Real2 b)
__host__ __device__ Real2	operator* (Real2 a, Real b)
__host__ __device__ Real2	operator* (Real b, Real2 a)
__host__ __device__ void	operator*= (Real2 &a, Real b)
__host__ __device__ Real3	operator* (Real3 a, Real3 b)
__host__ __device__ void	operator*= (Real3 &a, Real3 b)
__host__ __device__ Real3	operator* (Real3 a, Real b)
__host__ __device__ Real3	operator* (Real b, Real3 a)
__host__ __device__ void	operator*= (Real3 &a, Real b)
__host__ __device__ Real4	operator* (Real4 a, Real4 b)
__host__ __device__ void	operator*= (Real4 &a, Real4 b)
__host__ __device__ Real4	operator* (Real4 a, Real b)
__host__ __device__ Real4	operator* (Real b, Real4 a)
__host__ __device__ void	operator*= (Real4 &a, Real b)
__host__ __device__ Real2	operator/ (Real2 a, Real2 b)
__host__ __device__ void	operator/= (Real2 &a, Real2 b)
__host__ __device__ Real2	operator/ (Real2 a, Real b)
__host__ __device__ void	operator/= (Real2 &a, Real b)
__host__ __device__ Real2	operator/ (Real b, Real2 a)
__host__ __device__ Real3	operator/ (Real3 a, Real3 b)
__host__ __device__ void	operator/= (Real3 &a, Real3 b)
__host__ __device__ Real3	operator/ (Real3 a, Real b)
__host__ __device__ void	operator/= (Real3 &a, Real b)
__host__ __device__ Real3	operator/ (Real b, Real3 a)
__host__ __device__ Real4	operator/ (Real4 a, Real4 b)
__host__ __device__ void	operator/= (Real4 &a, Real4 b)
__host__ __device__ Real4	operator/ (Real4 a, Real b)
__host__ __device__ void	operator/= (Real4 &a, Real b)
__host__ __device__ Real4	operator/ (Real b, Real4 a)
__host__ __device__ Real2	rminr (Real2 a, Real2 b)
__host__ __device__ Real3	rminr (Real3 a, Real3 b)
__host__ __device__ Real4	rminr (Real4 a, Real4 b)
__host__ __device__ Real2	rmaxr (Real2 a, Real2 b)
__host__ __device__ Real3	rmaxr (Real3 a, Real3 b)
__host__ __device__ Real4	rmaxr (Real4 a, Real4 b)
__host__ __device__ Real2	lerp (Real2 a, Real2 b, Real t)
__host__ __device__ Real3	lerp (Real3 a, Real3 b, Real t)
__host__ __device__ Real4	lerp (Real4 a, Real4 b, Real t)
__host__ __device__ Real	dot (Real2 a, Real2 b)
__host__ __device__ Real	dot (Real3 a, Real3 b)
__host__ __device__ Real	dot (Real4 a, Real4 b)
__host__ __device__ Real	length (Real v)
__host__ __device__ Real	length (Real2 v)
__host__ __device__ Real	length (Real3 v)
__host__ __device__ Real	length (Real4 v)
__host__ __device__ Real2	normalize (Real2 v)
__host__ __device__ Real3	normalize (Real3 v)
__host__ __device__ Real4	normalize (Real4 v)
__host__ __device__ Real3	cross (Real3 a, Real3 b)
__host__ __device__ Real	sgn (Real a)
__host__ __device__ Real3	sgn (Real3 a)
__host__ __device__ Real4	Cables_ShapeFunctions (Real l, Real xi)
__host__ __device__ Real4	Cables_ShapeFunctionsDerivatives (Real l, Real xi)
__host__ __device__ Real4	Shells_ShapeFunctions (Real x, Real y)
__host__ __device__ Real3	user_BC_U (Real3 Pos)
__device__ void	clearRow (uint i_idx, uint csrStartIdx, uint csrEndIdx, Real *A_Matrix, Real *Bi)
__device__ void	clearRow3 (uint i_idx, uint csrStartIdx, uint csrEndIdx, Real *A_Matrix, Real3 *Bi)
void	CopyParams_NumberOfObjects (std::shared_ptr< SimParams > paramsH, std::shared_ptr< ChCounters > numObjectsH)
__device__ Real	W3h_Spline (Real d, Real h)
__device__ Real	W3h_High (Real d, Real h)
__device__ Real	W3h_Quintic (Real d, Real h)
__device__ Real3	GradWh_Spline (Real3 d, Real h)
__device__ Real3	GradWh_High (Real3 d, Real h)
__device__ Real3	W3h_Quintic (Real3 d, Real h)
__device__ Real	Eos (Real rho, Real type)
__device__ Real	InvEos (Real pw)
__device__ Real	FerrariCi (Real rho)
__device__ Real3	Modify_Local_PosB (Real3 &b, Real3 a)
__device__ Real3	Distance (Real3 a, Real3 b)
__device__ void	RotationMatirixFromQuaternion (Real3 &AD1, Real3 &AD2, Real3 &AD3, const Real4 &q)
__device__ Real3	InverseRotate_By_RotationMatrix_DeviceHost (const Real3 &A1, const Real3 &A2, const Real3 &A3, const Real3 &r3)
__device__ int3	calcGridPos (Real3 p)
__device__ uint	calcGridHash (int3 gridPos)
__device__ Real	Strain_Rate (Real3 grad_ux, Real3 grad_uy, Real3 grad_uz)
__device__ Real	Tensor_Norm (Real *T)
__device__ Real	Sym_Tensor_Norm (Real3 xx_yy_zz, Real3 xy_xz_yz)
__device__ Real	Inertia_num (Real Strain_rate, Real rho, Real p, Real diam)
__device__ Real	mu_I (Real Strain_rate, Real I)
__device__ Real	mu_eff (Real Strain_rate, Real p, Real mu_I)
__device__ Real	Herschel_Bulkley_stress (Real Strain_rate, Real k, Real n, Real tau0)
__device__ Real	Herschel_Bulkley_mu_eff (Real Strain_rate, Real k, Real n, Real tau0)
__device__ void	BCE_Vel_Acc (int i_idx, Real3 &myAcc, Real3 &V_prescribed, Real4 *sortedPosRad, int4 updatePortion, uint *gridMarkerIndexD, Real4 *qD, Real3 *rigidSPH_MeshPos_LRF_D, Real3 *posRigid_fsiBodies_D, Real4 *velMassRigid_fsiBodies_D, Real3 *omegaVelLRF_fsiBodies_D, Real3 *accRigid_fsiBodies_D, Real3 *omegaAccLRF_fsiBodies_D, uint *rigidIdentifierD, Real3 *pos_fsi_fea_D, Real3 *vel_fsi_fea_D, Real3 *acc_fsi_fea_D, uint *FlexIdentifierD, const int numFlex1D, uint2 *CableElementsNodesD, uint4 *ShellElementsNodesD)
__global__ void	calc_A_tensor (Real *A_tensor, Real *G_tensor, Real4 *sortedPosRad, Real4 *sortedRhoPreMu, Real *sumWij_inv, uint *cellStart, uint *cellEnd, const size_t numAllMarkers, volatile bool *isErrorD)
__global__ void	calc_L_tensor (Real *A_tensor, Real *L_tensor, Real *G_tensor, Real4 *sortedPosRad, Real4 *sortedRhoPreMu, Real *sumWij_inv, uint *cellStart, uint *cellEnd, const size_t numAllMarkers, volatile bool *isErrorD)
__global__ void	calcRho_kernel (Real4 *sortedPosRad, Real4 *sortedRhoPreMu, Real *sumWij_inv, uint *cellStart, uint *cellEnd, uint *mynumContact, const size_t numAllMarkers, volatile bool *isErrorD)
__global__ void	calcNormalizedRho_kernel (Real4 *sortedPosRad, Real3 *sortedVelMas, Real4 *sortedRhoPreMu, Real *sumWij_inv, Real *G_i, Real3 *normals, Real *Color, uint *cellStart, uint *cellEnd, const size_t numAllMarkers, volatile bool *isErrorD)
__global__ void	calcNormalizedRho_Gi_fillInMatrixIndices (Real4 *sortedPosRad, Real3 *sortedVelMas, Real4 *sortedRhoPreMu, Real *sumWij_inv, Real *G_i, Real3 *normals, uint *csrColInd, uint *numContacts, uint *cellStart, uint *cellEnd, const size_t numAllMarkers, volatile bool *isErrorD)
__global__ void	Function_Gradient_Laplacian_Operator (Real4 *sortedPosRad, Real3 *sortedVelMas, Real4 *sortedRhoPreMu, Real *sumWij_inv, Real *G_tensor, Real *L_tensor, Real *A_L, Real3 *A_G, Real *A_f, uint *csrColInd, uint *numContacts, const size_t numAllMarkers, volatile bool *isErrorD)
__global__ void	Jacobi_SOR_Iter (Real4 *sortedRhoPreMu, Real *A_Matrix, Real3 *V_old, Real3 *V_new, Real3 *b3vec, Real *q_old, Real *q_new, Real *b1vec, const uint *csrColInd, const uint *numContacts, size_t numAllMarkers, bool _3dvector, volatile bool *isErrorD)
__global__ void	Update_AND_Calc_Res (Real4 *sortedRhoPreMu, Real3 *V_old, Real3 *V_new, Real *q_old, Real *q_new, Real *Residuals, const size_t numAllMarkers, bool _3dvector, volatile bool *isErrorD)
__global__ void	Initialize_Variables (Real4 *sortedRhoPreMu, Real *p_old, Real3 *sortedVelMas, Real3 *V_new, const size_t numAllMarkers, volatile bool *isErrorD)
__global__ void	UpdateDensity (Real3 *vis_vel, Real3 *XSPH_Vel, Real3 *new_vel, Real4 *sortedPosRad, Real4 *sortedRhoPreMu, Real *sumWij_inv, uint *cellStart, uint *cellEnd, size_t numAllMarkers, volatile bool *isErrorD)

Variables
const Real	pi = Real(CH_C_PI)