Existence and uniqueness of weak entropy solutions for nonlocal nonlinear scalar conservation laws is proven on short time horizons via fixed-point methods, extending to any finite horizon under additional assumptions.
Efficient Implementation of Essentially Non-oscillatory Shock-Capturing Schemes
8 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 8representative citing papers
Multi-dimensional simulations show that the parameter space for shocks in non-dissipative transonic sub-Keplerian accretion flows is substantially larger than the analytic prediction, with dynamic boundary layers producing outflows.
Two modifications to the diffuse-interface method for insoluble surfactant modeling avoid sharp-gradient derivatives and decouple delta-function width from interface width, improving accuracy and conserving mass in two-phase flow simulations.
Adaptive high-order and low-order dissipative fluxes augment central-difference schemes to enforce scalar boundedness in multi-component turbulent flows with minimal added dissipation.
An adaptive reconstruction method combines a contact discontinuity detector with THINC for phasic densities and central schemes for tangential velocities to capture material interfaces more sharply in viscous compressible multicomponent flow simulations.
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.
Implements advanced GRMHD numerical techniques in Athena++ and demonstrates them via simulations of magnetically arrested disks around black holes.
amerta is a new Python library that implements and verifies a standard finite-volume solver for four canonical 1D dam-break Riemann problems against analytical solutions.
citing papers explorer
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Existence and uniqueness of nonlocal nonlinear conservation laws via fixed-point methods
Existence and uniqueness of weak entropy solutions for nonlocal nonlinear scalar conservation laws is proven on short time horizons via fixed-point methods, extending to any finite horizon under additional assumptions.
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Simulation based parameter space for shock in transonic, sub-Keplerian accretion flow onto non-rotating black holes
Multi-dimensional simulations show that the parameter space for shocks in non-dissipative transonic sub-Keplerian accretion flows is substantially larger than the analytic prediction, with dynamic boundary layers producing outflows.
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Enhanced numerical approaches for modeling insoluble surfactants in two-phase flows with the diffuse-interface method
Two modifications to the diffuse-interface method for insoluble surfactant modeling avoid sharp-gradient derivatives and decouple delta-function width from interface width, improving accuracy and conserving mass in two-phase flow simulations.
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Formulations for scalar boundedness in simulations of turbulent compressible multi-component flows using high-order finite-difference methods
Adaptive high-order and low-order dissipative fluxes augment central-difference schemes to enforce scalar boundedness in multi-component turbulent flows with minimal added dissipation.
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Consistent Interface Capturing Adaptive Reconstruction Approach for Viscous Compressible Multicomponent Flows
An adaptive reconstruction method combines a contact discontinuity detector with THINC for phasic densities and central schemes for tangential velocities to capture material interfaces more sharply in viscous compressible multicomponent flow simulations.
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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.
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Development and Application of Numerical Techniques for General-Relativistic Magnetohydrodynamics Simulations of Black Hole Accretion
Implements advanced GRMHD numerical techniques in Athena++ and demonstrates them via simulations of magnetically arrested disks around black holes.
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amerta: A Python Library for Idealized 1D Saint--Venant Dam-Break Simulation
amerta is a new Python library that implements and verifies a standard finite-volume solver for four canonical 1D dam-break Riemann problems against analytical solutions.