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What differencing scheme does AcuSolve use and how can I change it?

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AcuSolve uses the Finite Element Method to discretize the governing equations. By default, AcuSolve uses linear shape functions and Gaussian quadrature to perform the necessary integrations. This results in a numerical method that is second order accurate in space. Although there is no direct comparison to the common diferencing schemes found when using the finite volume method, this approach most resembles central differencing with a small amount of upwinding blended locally when necessary for stability. There is no way to reduce the spatial accuracy of AcuSolve below second order, however, quadratic tetrahedra elements are supported to increase the spatial accuracy above second order.


 


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