Výsledky vyhledávání - "Ding, Shengrong"

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High-order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-type Equation of State

Autor: Xu, Linfeng, Ding, Shengrong, Wu, Kailiang

All the existing entropy stable (ES) schemes for relativistic hydrodynamics (RHD) in the literature were restricted to the ideal equation of state (EOS), which however is often a poor approximation for most relativistic flows due to its inconsistency

Externí odkaz: http://arxiv.org/abs/2409.10872

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Robust DG Schemes on Unstructured Triangular Meshes: Oscillation Elimination and Bound Preservation via Optimal Convex Decomposition

Autor: Ding, Shengrong, Cui, Shumo, Wu, Kailiang

Discontinuous Galerkin (DG) schemes on unstructured meshes offer the advantages of compactness and the ability to handle complex computational domains. However, their robustness and reliability in solving hyperbolic conservation laws depend on two cr

Externí odkaz: http://arxiv.org/abs/2409.09620

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GQL-Based Bound-Preserving and Locally Divergence-Free Central Discontinuous Galerkin Schemes for Relativistic Magnetohydrodynamics

Autor: Ding, Shengrong, Wu, Kailiang

This paper develops novel and robust central discontinuous Galerkin (CDG) schemes of arbitrarily high-order accuracy for special relativistic magnetohydrodynamics (RMHD) with a general equation of state (EOS). These schemes are provably bound-preserv

Externí odkaz: http://arxiv.org/abs/2402.15437

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A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations

Autor: Ding, Shengrong, Wu, Kailiang

This paper proposes and analyzes a novel efficient high-order finite volume method for the ideal magnetohydrodynamics (MHD). As a distinctive feature, the method simultaneously preserves a discretely divergence-free (DDF) constraint on the magnetic f

Externí odkaz: http://arxiv.org/abs/2305.14820

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On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws

Autor: Cui, Shumo, Ding, Shengrong, Wu, Kailiang

This paper presents the first systematic study on the fundamental problem of seeking optimal cell average decomposition (OCAD), which arises from constructing efficient high-order bound-preserving (BP) numerical methods within Zhang--Shu framework. S

Externí odkaz: http://arxiv.org/abs/2212.05045

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Is the Classic Convex Decomposition Optimal for Bound-Preserving Schemes in Multiple Dimensions?

Autor: Cui, Shumo, Ding, Shengrong, Wu, Kailiang

Since proposed in [X. Zhang and C.-W. Shu, J. Comput. Phys., 229: 3091--3120, 2010], the Zhang--Shu framework has attracted extensive attention and motivated many bound-preserving (BP) high-order discontinuous Galerkin and finite volume schemes for v

Externí odkaz: http://arxiv.org/abs/2207.08849

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