Efficient simulation of one-dimensional two-phase flow with a high-order \(h\)-adaptive space-time discontinuous Galerkin method

DOI10.1016/j.compfluid.2017.06.010zbMath1390.76388OpenAlexW2624776622MaRDI QIDQ1648423

B. Sanderse, R. A. W. M. Henkes, Maurice H. W. Hendrix, J. S. B. van Zwieten, Kees Vuik

Publication date: 27 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.06.010

zbMATH Keywords

discontinuous Galerkin methodtwo-fluid model\(h\)-adaptive

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Compressible fluids and gas dynamics (76Nxx)

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Uses Software

• UMFPACK

Cites Work

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• Output-based space-time mesh adaptation for the compressible Navier-Stokes equations
• A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
• Space-time discontinuous Galerkin finite element method for two-fluid flows
• Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
• Two-phase flow: Models and methods
• A weak formulation of Roe's approximate Riemann solver
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• Hybrid flux-splitting schemes for a common two-fluid model
• A space-time adaptive discontinuous Galerkin scheme
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• Definition and weak stability of nonconservative products
• Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
• Thermo-Fluid Dynamics of Two-Phase Flow
• A pseudospectral Fourier method for a 1D incompressible two-fluid model
• On some fast well-balanced first order solvers for nonconservative systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Numerical evaluation of two discontinuous Galerkin methods for the compressible Navier–Stokes equations
• An adaptive spacetime discontinuous Galerkin method for cohesive models of elastodynamic fracture
• Simulation of slug flow in horizontal and nearly horizontal pipes with the two-fluid model
• On the simulation of three-phase slug flow in nearly horizontal pipes using the multi-fluid model
• Algorithm 832
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS