Abstract
SUMMARY Two compact higher-order methods are presented for solving the Euler equations in two dimensions. The flow domain is discretized by triangles. The methods use a characteristic-based approach with a cell-centered finite volume method. Polynomials of order 0 through 3 are used in each cell to represent the conservation flow variables. Solutions are demonstrated to achieve up to fourth-order accuracy. Computations are presented for a variety of fluid flow applications. Numerical results demonstrate a substantial gain in efficiency using compact higher-order elements over the lower-order elements. Copyright © 1999 John Wiley & Sons, Ltd.
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