Numerical solution of the free-boundary Bernoulli problem using a level set formulation

DOI10.1016/j.cma.2004.09.008zbMath1090.76048OpenAlexW2003544622MaRDI QIDQ2493821

Stéphane Clain, François Bouchon, Rachid Touzani

Publication date: 16 June 2006

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2004.09.008

zbMATH Keywords

multiple solutionsnonconnected domains

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (13)

On the second-order shape derivative of the Kohn-Vogelius objective functional using the velocity method ⋮ Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data ⋮ On a two-phase Serrin-type problem and its numerical computation ⋮ A scalar prototype problem of deep abrasive drilling with an infinite free boundary: an asymptotic modeling study ⋮ A Dirichlet-Neumann cost functional approach for the Bernoulli problem ⋮ Improved trial methods for a class of generalized Bernoulli problems ⋮ On a numerical shape optimization approach for a class of free boundary problems ⋮ Solutions to a two-dimensional, Neumann free boundary problem ⋮ Comparison of shape derivatives using CutFEM for ill-posed Bernoulli free boundary problem ⋮ An iterative domain decomposition method for free boundary problems with nonlinear flux jump constraint ⋮ An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data ⋮ On a Bernoulli problem with geometric constraints ⋮ A physics-informed learning approach to Bernoulli-type free boundary problems

Cites Work

• Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
• Free surfaces: shape sensitivity analysis and numerical methods
• The Numerical Solution of Laplace's Equation
• From finite differences to finite elements. A short history of numerical analysis of partial differential equations
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