The Galerkin boundary element method for transient Stokes flow |
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Authors: | Young Ok Choi Johannes Tausch |
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Institution: | 1.Department of Mathematics,Southern Methodist University,Dallas,USA |
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Abstract: | Since the fundamental solution for transient Stokes flow in three dimensions is complicated it is difficult to implement discretization methods for boundary integral formulations. We derive a representation of the Stokeslet and stresslet in terms of incomplete gamma functions and investigate the nature of the singularity of the single- and double layer potentials. Further, we give analytical formulas for the time integration and develop Galerkin schemes with tensor product piecewise polynomial ansatz functions. Numerical results demonstrate optimal convergence rates. |
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