An h-adaptive FV subcell scheme with 2N+1 resolution and collapsed coordinates enables robust shock-capturing for DGSEM on heterogeneous curvilinear meshes containing mixed element types.
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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.
Introduces a conservative, discretization- and PDE-agnostic redistribution limiting method for high-order approximations of conservation equations.
citing papers explorer
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h-Adaptive FV Subcell Shock-Capturing for DGSEM on Heterogeneous Curvilinear Meshes
An h-adaptive FV subcell scheme with 2N+1 resolution and collapsed coordinates enables robust shock-capturing for DGSEM on heterogeneous curvilinear meshes containing mixed element types.
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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.