Fan Zhang , Chunguang Xu , Jun Liu

DOI Number XXX-YYY-ZZZ

Conference Number HiSST 2018_3280998

A simple extending strategy is presented to improve the efficiency and accuracy of the state-of-the-art high order TENO schemes [1]. The presented method applies the smooth measurement of TENO to detect the position of discontinuity and then uses a polynomial selection procedure to directly apply spatial reconstruction of high-order accuracy, without crossing any discontinuity. Especially, neighbouring grid points contained in smooth stencils is also applied in spatial reconstruction to increase the order of polynomials, and thus the accuracy is improved with little extra computational cost. Since the reconstruction crossing discontinuity is completely avoided, ENO-property is attained. Numerical simulations including scalar equation and Euler equations are presented to testify the performance of the new method. The presented method gives results of which the accuracy is of seventh-order in smooth field, and the complexity of the method is similar to that of the fifth-order TENO

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In Categories: Fluid Dynamics, High-Speed Aerodynamics and Aerothermodynamics, HiSST 2018, Testing and Evaluation
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