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- W2098971215 abstract "This paper introduces a new super-parametric element for representing solid-side curved boundary. This type of element is used for simulating fluid flow with discontinuous Galerkin method. Hermitian type piecewise cubic spline is employed as the high-order polynomial for modeling the curved boundary. The two-dimensional geometrical shape functions are extended for quadrilateral elements. The effect of curved approximation on the numerical accuracy of fluid flow simulation is studied for smooth cases. The required local surface derivatives on element boundaries are computed both from the exact surface profile differentiations and by the use of finite-difference discretizations. In this case, different types of approximation methods are presented to evaluate the geometrical derivatives and the accuracy of the resulting solutions is compared. A significant accuracy improvement in the flow computation in vicinity of the curved boundaries has been achieved using the curvedside element with Hermitian surface representation." @default.
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- W2098971215 date "2011-06-14" @default.
- W2098971215 modified "2023-09-27" @default.
- W2098971215 title "High-Order Cubic Spline Boundary Representation for Discontinuous GalerkinSimulation of Compressible Inviscid Flows" @default.
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- W2098971215 doi "https://doi.org/10.2514/6.2011-3838" @default.
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