Simulate with complex geometries and complex physics
DIFFOP_kernel_Gradient
(chamberwise) factor for the weight kernel for the least squares approximation stencils for gradients (UCV)
The differential operators are introduced in DOCUMATH_DifferentialOperators.pdf.
Especially, see section 1 of this document, where the weight kernels are introduced. In principle, the weight kernel has the form
\begin{align} W(\mathbf{x}_j,\mathbf{x}) = \exp\left( -\alpha \frac{\|\mathbf{x}_j-\mathbf{x}\|^2}{h(\mathbf{x}_j)^2} \right)\end{align}
With DIFFOP_kernel_Gradient, we define the parameter \( \alpha\) for the weight kernel used for the gradient approximation stencils.
Big values make the kernel narrow, small values make it broad.
Note: This parameter can also be set chamberwise for multiphase simulations (see also KindOfProblem, CHAMBER).
If it is not set for specific chambers, it is automatically set according to the non-chamberwise definition for all chambers.
| This item is referenced in: | |
|---|---|
| common_variables | simple box driving through a channel of water: common_variables.dat |
| DIFFOP_kernel_Gradient | (chamberwise) factor for the weight kernel for the least squares approximation stencils for gradients (CV) |
| DIFFOP_kernel_Gradient | (chamberwise) factor for the weight kernel for the least squares approximation stencils for gradients (UCVO) |
| DIFFOP_kernel_Gradient | (chamberwise) factor for the weight kernel for the least squares approximation stencils for gradients (UCV) |
| DIFFOP_kernel_Laplace | (chamberwise) factor for the weight kernel for the least squares approximation stencils for the Laplacian (UCV) |
| DIFFOP_kernel_Transport | (chamberwise) factor for the weight kernel for the least squares approximation stencils for the transport operators (UCV) |
| approxY() | approximation of a MESHFREE-entity by the MESHFREE least squares operators |