BVD原理に基づくβ可変THINC法による衝撃波捕獲スキーム

抄録

In this study, a special THINC scheme, so called β-variable THINC scheme, is proposed and embedded into the BVD (boundary variation diminishing) formulation to construct a high-fidelity scheme for compressible flows. The slope parameter β of THINC function is determined adaptively based on the solution structure so that the THINC function can be selected for a wider spectrum of solution profiles to prevent numerical oscillations in the BVD algorithm. Hence, a hybrid scheme combining the 4th-order unlimited polynomial and the β-variable THINC scheme based on the BVD principle has been devised to accurately capture both smooth and discontinuous solutions. The benchmark tests revealed that the numerical scheme presented in this paper is competitive to the other existing schemes such as MUSCL and WENO schemes.