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- W2110643107 abstract "An implicit Discontinuous Galerkin scheme for conservation laws on unstructured mesh system is developed utilizing a pointwise relaxation algorithm. First, we solve the linear hyperbolic equation to examine the order of spatial accuracy and also the convergence property of the scheme. The Euler equations in two-dimensional space are then solved by the present pointwise relaxation scheme assuming a second order of spatial accuracy. We also focus on to examine the case of using a hybrid mesh system. Then we extend the present method to solve the NavierStokes equations. It is shown that the present pointwise relaxation method can maintain numerical stability even with very large CFL numbers, and can converge to machine zero." @default.
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- W2110643107 date "2006-06-05" @default.
- W2110643107 modified "2023-09-30" @default.
- W2110643107 title "A Pointwise Relaxation Computation of Viscous Compressible Flowfield Using Discontinuous Galerkin Method" @default.
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- W2110643107 doi "https://doi.org/10.2514/6.2006-3893" @default.
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