Reconstruction and Slope Limiters

2020 ◽  
pp. 117-136
Author(s):  
Keiichi Kitamura
Keyword(s):  
Slope Limiters

An improvement of classical slope limiters for high-order discontinuous Galerkin method

2009 ◽  
Vol 59 (4) ◽  
pp. 423-442 ◽  
Author(s):  
R. Ghostine ◽  
G. Kesserwani ◽  
R. Mosé ◽  
J. Vazquez ◽  
A. Ghenaim
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
High Order ◽  
Slope Limiters

scholarly journals Numerical Scheme CSPH – TVD: Investigation of Influence Slope Limiters

2014 ◽  
pp. 22-34 ◽  
Author(s):  
Nikolay Kuz’min ◽  
◽  
Anton Bеlousov ◽  
Tat’yana Shushkеvich ◽  
Sеrgеy Khrapov ◽  
...  
Keyword(s):  
Numerical Scheme ◽  
Slope Limiters

Modifying and Reducing Numerical Dissipation in A Two-Dimensional Central-Upwind Scheme

2012 ◽  
Vol 4 (03) ◽  
pp. 340-353
Author(s):  
Chi-Jer Yu ◽  
Chii-Tung Liu
Keyword(s):  
Numerical Experiments ◽  
Large Scale ◽  
Numerical Dissipation ◽  
Variation Diminishing ◽  
2D Euler Equation ◽  
Long Time ◽  
1D Model ◽  
Slope Limiters ◽  
Large Scale Simulations ◽  
Optimal Formula

AbstractThis study presents a modification of the central-upwind Kurganov scheme for approximating the solution of the 2D Euler equation. The prototype, extended from a 1D model, reduces substantially less dissipation than expected. The problem arises from over-restriction of some slope limiters, which keep slopes between interfaces of cells to be Total-Variation-Diminishing. This study reports the defect and presents a re-derived optimal formula. Numerical experiments highlight the significance of this formula, especially in long-time, large-scale simulations.

scholarly journals A solution to the overdamping problem when simulating dust–gas mixtures with smoothed particle hydrodynamics

2020 ◽  
Vol 495 (4) ◽  
pp. 3929-3934 ◽  
Author(s):  
Daniel J Price ◽  
Guillaume Laibe
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Computational Cost ◽  
Gas Mixtures ◽  
Strongly Coupled ◽  
Particle Pairs ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Spurious Oscillations ◽  
Slope Limiters ◽  
Additional Memory

ABSTRACT We present a fix to the overdamping problem found by Laibe & Price when simulating strongly coupled dust–gas mixtures using two different sets of particles using smoothed particle hydrodynamics. Our solution is to compute the drag at the barycentre between gas and dust particle pairs when computing the drag force by reconstructing the velocity field, similar to the procedure in Godunov-type solvers. This fixes the overdamping problem at negligible computational cost, but with additional memory required to store velocity derivatives. We employ slope limiters to avoid spurious oscillations at shocks, finding the van Leer Monotonized Central limiter most effective.

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