GradP.cl File Reference

Compute the gradient of the pressure at the boundary to impose the Neumann BC. More...

#include "resources/Scripts/types/types.h"

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Functions
__kernel void	freeslip (const __global uint *iset, const __global int *imove, const __global float *shepard, const __global float *rho, const __global vec *lap_u, const __global vec *dudt, __global vec *grad_p, __constant float *visc_dyn, __constant float *refd, unsigned int N, vec g)
	Compute the gradient of the pressure at the boundary to impose the free-slip BC, i.e.

Detailed Description

Compute the gradient of the pressure at the boundary to impose the Neumann BC.

Function Documentation

freeslip()

__kernel void freeslip	(	const __global uint *	iset,
		const __global int *	imove,
		const __global float *	shepard,
		const __global float *	rho,
		const __global vec *	lap_u,
		const __global vec *	dudt,
		__global vec *	grad_p,
		__constant float *	visc_dyn,
		__constant float *	refd,
		unsigned int	N,
		vec	g
	)

Compute the gradient of the pressure at the boundary to impose the free-slip BC, i.e.

\( \left. \frac{d\mathbf{u}}{dt} \right\vert_{\partial \Omega} \cdot \mathbf{n} = \left. \frac{d\mathbf{u}}{dt} \right\vert_{\partial \Omega} \cdot \mathbf{n}\).

Such that the pressure can be computed from the Momentum Equation.

Parameters

iset	Set of particles index.
imove	Moving flags. imove > 0 for regular fluid particles. imove = 0 for sensors. imove < 0 for boundary elements/particles.
shepard	Shepard term \( \gamma(\mathbf{x}) = \int_{\Omega} W(\mathbf{y} - \mathbf{x}) \mathrm{d}\mathbf{x} \).
rho	Density \( \rho \).
p	Pressure \( p \).
rho	Density \( \rho_{n+1} \).
lap_u	Velocity laplacian \( \Delta \mathbf{u} \).
dudt	Velocity rate of change \( \frac{d \mathbf{u}}{d t} \).
grad_p	Pressure gradient \( \frac{\nabla p}{rho} \).
visc_dyn	Dynamic viscosity \( \mu \).
refd	Density of reference \( \rho_0 \).
N	Number of particles.
g	Gravity acceleration \( \mathbf{g} \).

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