81st NIA CFD Seminar: Accuracy-Preserving Source Term Quadrature for Third-Order Edge-Based Discretization

Speaker: Hiro Nishikawa Abstract: This talk will present new source term quadrature formulas for preserving third-order accuracy of the edge-based discretization for conservation laws with source terms on arbitrary simplex grids. A family of economical formulas are derived, which do not require computations nor storage of second derivatives, by eliminating a first-order truncation error and satisfying a compatibility condition. With these formulas, the edge-based scheme can achieve third-order accuracy with no second-derivative computations at all. Third-order accuracy is demonstrated for equations with source terms on one-dimensional grids and linear triangular/tetrahedral grids over straight and curved geometries. Additional information, including the webcast link, can be found at the NIA CFD Seminar website, which is temporarily located at http://www.hiroakinishikawa.com/niacfds/index.html