ACTA UNIVERSITATIS APULENSIS No 10/2005 AN ALTERNATIVE METHOD FOR SOLVING DIRECT AND INVERSE STOKES PROBLEMS
نویسندگان
چکیده
The solution of the equations governing the two-dimensional slow viscous fluid flow is analysed using a novel technique based on a Laplacian decomposition instead of the more traditional approaches based on the biharmonic streamfunction formulation or the velocity-pressure formulation. This results in the need to solve three Laplace equations for the pressure and two auxiliary harmonic functions, which in turn stems from Almansi decomposition. These equations, which become coupled through the boundary conditions, are numerically solved using the boundary element method (BEM). Numerical results for both direct and inverse problem are presented and discussed considering a benchmark test example in a non-smooth geometry. 2000 Mathematics Subject Classification: 76D07, 35J05, 65N38, 65N12, 65M32.
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