A new Galerkin closure (H–ECF/CPG) preserves pairwise modal energy exchange and total-energy conservation for hyperbolic systems with a state-dependent physical-energy metric.
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
6 Pith papers cite this work, alongside 507 external citations. Polarity classification is still indexing.
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JAX-FVM is a differentiable, entropy-stable finite volume solver for 2D compressible Euler/Navier-Stokes equations on unstructured meshes, built in JAX.
Local linear instabilities in entropy-stable discretizations cause negligible practical errors because their growth is small, oscillatory, boundary-localized, and suppressible, with no direct extension to nonlinear two-point-flux cases.
Temperature constraints eliminate spurious local oscillations and substantially improve stability and prediction accuracy of reduced-order models in reacting flows.
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.
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Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems
A new Galerkin closure (H–ECF/CPG) preserves pairwise modal energy exchange and total-energy conservation for hyperbolic systems with a state-dependent physical-energy metric.
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JAX-FVM: A differentiable, entropy-stable finite volume solver on unstructured meshes for compressible flows
JAX-FVM is a differentiable, entropy-stable finite volume solver for 2D compressible Euler/Navier-Stokes equations on unstructured meshes, built in JAX.
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On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
Local linear instabilities in entropy-stable discretizations cause negligible practical errors because their growth is small, oscillatory, boundary-localized, and suppressible, with no direct extension to nonlinear two-point-flux cases.
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Investigations and Improvement of Robustness of Reduced-Order Models of Reacting Flow
Temperature constraints eliminate spurious local oscillations and substantially improve stability and prediction accuracy of reduced-order models in reacting flows.
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GPU Performance of an Entropy-Stable Discontinuous Galerkin Euler Solver with Non-Conservative Terms
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.
- Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schr\"odinger equations