Comparison study on the performances of finite volume method and finite difference method

DOI10.1155/2013/596218zbMath1275.65053OpenAlexW1976874690WikidataQ59003231 ScholiaQ59003231MaRDI QIDQ364439

Dongjie Wang, Wang Li, Xinyu Zhang, Bo Yu, Renwei Liu

Publication date: 9 September 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/596218

zbMATH Keywords

stabilityfinite difference methodfinite volume methodMAC algorithmvorticity-stream function method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (3)

Reevaluation of high-order finite difference and finite volume algorithms with freestream preservation satisfied ⋮ A comparative study of high‐resolution methods for nonlinear hyperbolic problems ⋮ A mixed upwind/central WENO scheme for incompressible two-phase flows

Cites Work

• Unnamed Item
• Unnamed Item
• Conservation laws in curvilinear coordinates: A short proof of Vinokur's theorem using differential forms
• Decay of solutions of hyperbolic systems of conservation laws with a convex extension
• Comparison of truncation error of finite-difference and finite-volume formulations of convection terms
• Conservation equations of gasdynamics in curvilinear coordinate systems
• Viscous flow round a sphere at low Reynolds numbers (<40)
• Systems of conservation laws
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
• Stability of solutions to hyperbolic systems of conservation laws
• The Euler equations for multiphase compressible flow in conservation form. Simulation of shock-bubble interactions

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