Robustness

AcuSolve typically solves a given problem in the first attempt. Nonlinear convergence stays strong even as the solution approaches the its final results. Fully converged solutions are typical with AcuSolve. Two components contribute to this robustness:

Stable Finite Element Formulation

AcuSolve is based on the Galerkin/Least-Squares (GLS) finite element formulation (see Accuracy). This technology has mathematically and in practice been proven to have superb stability and accuracy properties. It easily handles hard industrial problems with under-resolved, distorted and high aspect ratio meshes.

Powerful Iterative Solver

AcuSolve utilizes a unique and proprietary iterative linear equation solver, which allows for efficient and stable solution of the coupled pressure/velocity equation system, arising from linearization of the Navier-Stokes equations. The linear solver is devised based on detailed study of the coupled system. The solver is highly stable, capable of efficiently solving unstructured finite element meshes with high aspect ratio and badly distorted elements, which are commonly produced by automatic mesh generators on complex industrial problems. This practically parameter free linear solver yields significant improvement in the robustness and convergence of the linear and nonlinear iterations as compared to segregated solver type procedures which are the norm in today's commercial incompressible flow solvers.

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