Code verification for finite volume multiphase scalar equations using the method of manufactured solutions

DOI10.1016/j.jcp.2011.12.040zbMath1242.65175OpenAlexW1988279968MaRDI QIDQ419668

Marcus Herrmann, P. T. Brady, J. M. Lopez

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.12.040

zbMATH Keywords

algorithmlevel setfinite volumemultiphase flowmultiphasecode verificationmanufactured solutionsmethod of manufactural solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite volume methods applied to problems in fluid mechanics (76M12) Three or more component flows (76T30) Algorithms with automatic result verification (65G20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Cites Work

• A Cartesian grid embedded boundary method for solving the Poisson and heat equations with discontinuous coefficients in three dimensions
• An extended pressure finite element space for two-phase incompressible flows with surface tension
• An accurate conservative level set/ghost fluid method for simulating turbulent atomization
• A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
• Review of code and solution verification procedures for computational simulation
• On the construction of manufactured solutions for one and two-equation eddy-viscosity models
• Verification of Euler/Navier–Stokes codes using the method of manufactured solutions

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