A generalized flux-corrected transport limiter for systems of conservation laws enforces invariant domain preservation by expressing the high-order solution as a convex combination of low-order invariant-domain-preserving states, applicable to both explicit and implicit time discretizations.
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier–Stokes equations
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GALÆXI is a new architecture-agnostic high-order discontinuous Galerkin framework for compressible turbulent flows on multi-vendor GPU systems.
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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Invariant domain preserving limiting of time explicit and time implicit discretizations for systems of conservation laws
A generalized flux-corrected transport limiter for systems of conservation laws enforces invariant domain preservation by expressing the high-order solution as a convex combination of low-order invariant-domain-preserving states, applicable to both explicit and implicit time discretizations.
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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.