Hybrid central-upwind finite volume schemes for solving the Euler and Navier-Stokes equations

DOI10.1016/j.camwa.2016.08.022zbMath1368.76041OpenAlexW2518867726MaRDI QIDQ2012698

Chao Yan, Zhen-Hua Jiang, Jian Yu, Yan-Su Li

Publication date: 3 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.08.022

zbMATH Keywords

finite volumeupwind schemehybrid methodcentral scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Navier-Stokes equations (35Q30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Related Items (4)

A new paradigm of dissipation-adjustable, multi-scale resolving schemes for compressible flows ⋮ Effect of time integration scheme in the numerical approximation of thermally coupled problems: from first to third order ⋮ A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids ⋮ Numerical simulation of nucleating flow and shock capturing in steam turbines by a simple low-dissipation upwind scheme using an Eulerian-Lagrangian model

Uses Software

• MOOD

Cites Work

• Unnamed Item
• Implicit high-order discontinuous Galerkin method with HWENO type limiters for steady viscous flow simulations
• \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
• A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
• A new shock-capturing technique based on moving least squares for higher-order numerical schemes on unstructured grids
• A sequel to AUSM: AUSM\(^ +\)
• Finite-volume WENO schemes for three-dimensional conservation laws
• A positivity-preserving high order finite volume compact-WENO scheme for compressible Euler equations
• Multislope MUSCL method for general unstructured meshes
• Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Approximate Riemann solvers, parameter vectors, and difference schemes
• On central-difference and upwind schemes
• A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
• Conservative hybrid compact-WENO schemes for shock-turbulence interaction
• Hybrid weighted essentially non-oscillatory schemes with different indicators
• Cartesian mesh with a novel hybrid WENO/meshless method for turbulent flow calculations
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes
• Compact Reconstruction Schemes with Weighted ENO Limiting for Hyperbolic Conservation Laws
• Methods for extending high‐resolution schemes to non‐linear systems of hyperbolic conservation laws
• A new matrix dissipation model for central scheme
• A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
• Evaluation of TVD high-resolution schemes for unsteady viscous shocked flows

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