Cell-vertex entropy-stable finite volume methods for the system of Euler equations on unstructured grids
An alternative cell-vertex entropy-stable finite volume method for the system of Euler
equations is presented. It is derived from the residual distribution method, using the signals …
equations is presented. It is derived from the residual distribution method, using the signals …
Well-balanced energy-stable residual distribution methods for the shallow water equations with varying bottom topography
This paper presents an alternative well-balanced and energy stable method for the system
of non-homogeneous Shallow Water Equations (SWE) on unstructured grids based on the …
of non-homogeneous Shallow Water Equations (SWE) on unstructured grids based on the …
Linearity preserving modified LDA methods for unsteady advection-diffusion problems
The developments of linearity preserving (LP) residual distribution (RD) schemes for
unsteady hyperbolic and hyperbolic-parabolic equations are presented. This is achieved by …
unsteady hyperbolic and hyperbolic-parabolic equations are presented. This is achieved by …
Time-explicit numerical methods for Maxwell's equation in second-order form
SS Neoh, F Ismail - Applied Mathematics and Computation, 2021 - Elsevier
This paper postulates three numerical methods solving the second-order Maxwell's equation
on unstructured grids. These numerical methods are derived from the classic finite-volume …
on unstructured grids. These numerical methods are derived from the classic finite-volume …
Non-unified compact residual-distribution methods for scalar advection–diffusion problems
This paper solves the advection–diffusion equation by treating both advection and diffusion
residuals in a separate (non-unified) manner. An alternative residual distribution (RD) …
residuals in a separate (non-unified) manner. An alternative residual distribution (RD) …
An entropy-stable residual distribution scheme for the system of two-dimensional inviscid shallow water equations
An entropy-stable residual distribution (RD) method is developed for the systems of two-
dimensional shallow water equations (SWE). The construction of entropy stability for the …
dimensional shallow water equations (SWE). The construction of entropy stability for the …
Error Analysis on Galerkin Scheme for the Diffusion Problem
WS Chang, H Hassan, HF Aminnuddin, V Singh… - … of Aerospace and …, 2020 - Springer
For advection-diffusion problem, the non-unified approach of classic residual distribution
(RD) schemes for advection discretization and pure Galerkin scheme for diffusion …
(RD) schemes for advection discretization and pure Galerkin scheme for diffusion …