Abstract
The present study discusses several approaches of representing curve boundaries with high-order Euler solvers. The aim is to minimize the solution entropy error. The traditional boundary representation based on interpolation polynomials is presented first. A new boundary representation based on the Bezier curve is then developed and analyzed. Several numerical tests are conducted to compare both representations. The new approach is shown to have several advantages for complicated geometries.
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Gao, H., Wang, Z.J. & Liu, Y. A Study of Curved Boundary Representations for 2D High Order Euler Solvers. J Sci Comput 44, 323–336 (2010). https://doi.org/10.1007/s10915-010-9386-x
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DOI: https://doi.org/10.1007/s10915-010-9386-x