A new spatial reconstruction scheme in finite volume frameworks is designed and tested in this work. Different from most existing reconstruction processes which only use high order polynomials with limiting projections to seek accurate and stable solutions around discontinuities, the current scheme employs the traditional shock capturing MUSCL (Monotone Upstream-centered Schemes for Conservation Law) scheme as well as the interface sharpening THINC (Tangent of Hyperbola for INterface Capturing) scheme as two building-blocks of spatial reconstruction using the BVD (boundary variation diminishing) principle that minimizes the variations (jumps) of the reconstructed variables at cell boundaries. The resultant scheme is called MUSCL-THINC-BVD. Through solving basic one dimensional problems involving discontinuities such as stiff detonation fronts and material interfaces, the proposed scheme shows improved solution quality for discontinuities. Being algorithmically simple as another desirable feature, the proposed scheme is promising and worth further exploration.
展开▼
