A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system

DOI10.1137/23m1587853zbMath1545.65371MaRDI QIDQ6551217

Jie Shen, Xiangxiong Zhang, Chen Liu, Béatrice Rivière

Publication date: 6 June 2024

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

discontinuous Galerkin methodhigh-order accuracyDouglas-Rachford splittingCahn-Hilliard-Navier-Stokesbound-preserving limiternearly optimal parameters

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations ⋮ A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system ⋮ Mass conservative limiting and applications to the approximation of the steady-state radiation transport equations

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