Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

From MaRDI portal

Publication:630354

Jump to:navigation, search

DOI10.1016/j.jcp.2010.10.036zbMath1391.76375OpenAlexW2091178963MaRDI QIDQ630354

Chi-Wang Shu, Xiangxiong Zhang

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.10.036

zbMATH Keywords

discontinuous Galerkin method hyperbolic conservation laws finite volume scheme gas dynamics high order accuracy positivity preserving weighted essentially non-oscillatory scheme essentially non-oscillatory scheme compressible Euler equations with source terms

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields, Analysis on physical-constraint-preserving high-order discontinuous Galerkin method for solving Kapila's five-equation model, On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation, Positivity-preserving entropy filtering for the ideal magnetohydrodynamics equations, Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes, Exploring shock-capturing schemes for particles on demand simulation of compressible flows, A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations, High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field, Finite element-based invariant-domain preserving approximation of hyperbolic systems: beyond second-order accuracy in space, Positivity-preserving CE/SE schemes for solving the compressible Euler and Navier-Stokes equations on hybrid unstructured meshes, Positivity-preserving Lax-Wendroff discontinuous Galerkin schemes for quadrature-based moment-closure approximations of kinetic models, On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations, High-order methods for hypersonic flows with strong shocks and real chemistry, High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics, Stable Runge-Kutta discontinuous Galerkin solver for hypersonic rarefied gaseous flow based on 2D Boltzmann kinetic model equations, Positivity-Preserving Local Discontinuous Galerkin Method for Pattern Formation Dynamical Model in Polymerizing Actin Flocks, High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit, Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations, Harten-Lax-van Leer-contact (HLLC) approximation Riemann solver with elastic waves for one-dimensional elastic-plastic problems, A positivity-preserving high-order weighted compact nonlinear scheme for compressible gas-liquid flows, DeepM\&Mnet for hypersonics: predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators, Non-linear Boltzmann equation on hybrid-unstructured non-conforming multi-domains, Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations, High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics, A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data, Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics, High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments, An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations, Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics, Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms, On underresolved simulations of compressible turbulence using an entropy-bounded DG method: solution stabilization, scheme optimization, and benchmark against a finite-volume solver, A high-order cell-centered Lagrangian scheme for one-dimensional elastic-plastic problems, Positivity-preserving moving mesh scheme for two-step reaction model in two dimensions, High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes, Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates, High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations, Strong Stability Preserving Integrating Factor Runge--Kutta Methods, A bound-preserving and positivity-preserving finite volume WENO scheme for solving five-equation model of two-medium flows, Linear energy stable numerical schemes for a general chemo-repulsive model, Positivity-preserving Lagrangian scheme for multi-material compressible flow, Discontinuous Galerkin method for multicomponent chemically reacting flows and combustion, Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations, Entropy-bounded discontinuous Galerkin scheme for Euler equations, Application of Positivity-Preserving Discontinuous Galerkin Scheme in Gaseous Detonations, Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations, Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods, Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems, Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous media, An entropy stable scheme for the non-linear Boltzmann equation, Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields, High-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flows, Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to algebraic flux correction, Robust second-order scheme for multi-phase flow computations, Positivity-preserving high-order discontinuous Galerkin schemes for ten-moment Gaussian closure equations, A conservative scheme for Vlasov Poisson Landau modeling collisional plasmas, Solution property preserving reconstruction BVD+MOOD scheme for compressible Euler equations with source terms and detonations, Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions?, Local discontinuous Galerkin method for the Keller-Segel chemotaxis model, A simple bound-preserving sweeping technique for conservative numerical approximations, Bound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous Media, Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations, Positivity-preserving high order finite difference WENO schemes for compressible Euler equations, Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods, r-adaptive algorithms for supersonic flows with high-order flux reconstruction methods, A quasi-conservative discontinuous Galerkin method for solving five equation model of compressible two-medium flows, On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations, Realizability-preserving DG-IMEX method for the two-moment model of fermion transport, A positivity-preserving high order discontinuous Galerkin scheme for convection-diffusion equations, A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms, High-order bound-preserving discontinuous Galerkin methods for wormhole propagation on triangular meshes, Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations, High-order bound-preserving finite difference methods for miscible displacements in porous media, Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates, High-Order Bound-Preserving Discontinuous Galerkin Methods for Stiff Multispecies Detonation, A novel unified approach to invariance conditions for a linear dynamical system, Finite element modeling of a multi-physics poro-elastic problem in multiscale media, Application of a discontinuous Galerkin finite element method to special relativistic hydrodynamic models, Characteristic modal shock detection for discontinuous finite element methods, High order positivity- and bound-preserving hybrid compact-WENO finite difference scheme for the compressible Euler equations, Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems, Eulerian-Eulerian simulation of dusty gas flows past a prism from subsonic to supersonic regimes using a modal discontinuous Galerkin method, Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured Grids, Capturing Near-Equilibrium Solutions: A Comparison between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes, On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids, A selective immersed discontinuous Galerkin method for elliptic interface problems, Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows, Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes, Reprint of: ``Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates, Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations, A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics, A positivity-preserving high order finite volume compact-WENO scheme for compressible Euler equations, Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates, Towards positivity preservation for monolithic two-way solid-fluid coupling, Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. I: The one-dimensional case, Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. II: The two-dimensional case, Entropy preserving low dissipative shock capturing with wave-characteristic based sensor for high-order methods, A robust high order alternative WENO scheme for the five-equation model, Positivity-preserving finite difference WENO scheme for ten-moment equations with source term, Maximum principle and positivity-preserving high order spectral volume schemes with parametrized flux limiters for solving hyperbolic conservation laws, Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments, A class of positive semi-discrete Lagrangian-Eulerian schemes for multidimensional systems of hyperbolic conservation laws, High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations, Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes, A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows, Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations, High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes, A modal discontinuous Galerkin method for simulating dusty and granular gas flows in thermal non-equilibrium in the Eulerian framework, A class of bound-preserving high order schemes: The main ideas and recent developments, Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws, The positivity preserving property on the high order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for Euler equations, Positivity Preservation of a First-Order Scheme for a Quasi-Conservative Compressible Two-Material Model, Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness, Strictly convex entropy and entropy stable schemes for reactive Euler equations

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:630354&oldid=12521896"