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07/31/2023
Low-Dissipation Central-Upwind Schemes for Compressible Multifluids
We introduce second-order low-dissipation (LD) path-conservative central...
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07/25/2023
New Adaptive Low-Dissipation Central-Upwind Schemes
We introduce new second-order adaptive low-dissipation central-upwind (L...
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04/21/2023
Experimental Convergence Rate Study for Three Shock-Capturing Schemes and Development of Highly Accurate Combined Schemes
We study experimental convergence rates of three shock-capturing schemes...
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12/06/2022
A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics
We develop a new second-order unstaggered path-conservative central-upwi...
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11/14/2022
Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator
We develop new adaptive alternative weighted essentially non-oscillatory...
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09/17/2022
A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model
In this paper, we consider a coupled chemotaxis-fluid system that models...
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06/17/2022
Local Characteristic Decomposition Based Central-Upwind Scheme
We propose novel less diffusive schemes for conservative one- and two-di...
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11/27/2019
An adaptive well-balanced positivity preserving scheme on quadtree grids for shallow water equations
We present an adaptive well-balanced positivity preserving scheme on qua...
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11/21/2019