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.
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
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Introduces a conservative, discretization- and PDE-agnostic redistribution limiting method for high-order approximations of conservation equations.
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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Locally conservative redistribution limiting and applications to the approximation of conservation equations, Part II
Introduces a conservative, discretization- and PDE-agnostic redistribution limiting method for high-order approximations of conservation equations.
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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.