Analytic solution of the free boundary problem for porous media flow using a conformal map validated by the boundary element method

DOI10.1016/j.enganabound.2024.105806MaRDI QIDQ6583851

Faisal Muteb K. Almalki, Michael H. Meylan

Publication date: 6 August 2024

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

boundary element methodDarcy's lawfree boundary problemsseparation of variablesconformal mapLaplace's equation

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Cites Work

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• On solving free surface problems in layered soil using the method of fundamental solutions
• A coupled PFEM-Eulerian approach for the solution of porous FSI problems
• Handbook of Conformal Mappings and Applications
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies

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