An \(h\)-adaptive RKDG method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model

DOI10.1007/s10915-017-0440-9zbMath1397.76083OpenAlexW2610826189MaRDI QIDQ1691425

Jianxian Qiu, Jing-Mei Qiu, Hongqiang Zhu

Publication date: 16 January 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0440-9

zbMATH Keywords

incompressible Euler equationsRunge-Kutta discontinuous Galerkin\(h\)-adaptiveguiding center Vlasov model

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Euler equations (35Q31)

Related Items (8)

Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations ⋮ High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics ⋮ An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics ⋮ High order multi-dimensional characteristics tracing for the incompressible Euler equation and the guiding-center Vlasov equation ⋮ The finite volume WENO with Lax-Wendroff scheme for nonlinear system of Euler equations ⋮ A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods ⋮ A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting ⋮ High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

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