Investigation of the Stabilization Parameters of theStabilized Finite Element Formulations

[摘要] The Team for Advanced Flow Simulation and Modeling at Rice University specializesin finite element computation of complex problems, relying on stabilized formulationssuch as the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/PetrovGalerkinmethods. These stabilization methods involve a stabilization parameter, T.Alternatives to the currently-used T definitions were provided in terms of element-levelmatrices and vectors. An extensive investigation of these stabilization parameters isperformed with comparison to currently-used T definitions to determine their performance.Numerical data is reported to evaluate the behavior of these alternativestabilization parameters with changing element size, type, and distortion. This isaccomplished through evaluation of the matrix-assembly outcome and test computations,with focus on boundary layer behavior. Test calculations are carried out inthe context of a time-dependent advection-diffusion equation and the N avier-Stokesequations of incompressible flows, for both the semi-discrete formulation and theDeforming-Spatial-Domain/Stabilized Space-Time method.

[发布机构] Rice University

[效力级别] engineering