An \(h\)-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations

DOI10.1016/j.jcp.2016.05.027zbMath1349.76276OpenAlexW2407742808MaRDI QIDQ726881

J. G. M. Kuerten, Lulu Tian, J. J. W. van der Vegt, Yan Xu

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.05.027

zbMATH Keywords

mesh adaptationlocal discontinuous Galerkin methodaccuracy and stability(non)-isothermal Navier-Stokes-Korteweg equationssolid wall boundaries

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Liquid-gas two-phase flows, bubbly flows (76T10) Compressible fluids and gas dynamics (76Nxx)

Related Items (10)

An efficient adaptive mesh refinement (AMR) algorithm for the discontinuous Galerkin method: applications for the computation of compressible two-phase flows ⋮ Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems ⋮ Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception ⋮ A Stokes-Darcy-Darcy model and its discontinuous Galerkin method on polytopic grids ⋮ Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ \(C^1\) continuous \(h\)-adaptive least-squares spectral element method for phase-field models ⋮ A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods ⋮ A high-order finite volume method with improved isotherms reconstruction for the computation of multiphase flows using the Navier-Stokes-Korteweg equations ⋮ An \(h-\) adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy-Forcheiner model

Uses Software

• parDG

Cites Work

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