This work proposes a new spatial reconstruction scheme in finite volume frameworks.
Different from long-lasting reconstruction processes which employ high order polynomials
enforced with some carefully designed limiting projections to seek stable solutions around
discontinuities, the current discretized scheme employs THINC (Tangent of Hyperbola for
INterface Capturing) functions with adaptive sharpness to solve both smooth and
discontinuous solutions. Due to the essentially monotone and bounded properties of THINC …

This work proposes a new spatial reconstruction scheme in finite volume frameworks.
Different from long-lastingreconstruction processes which employ high order polynomials
enforced with some carefully designed limiting pro-jections to seek stable solutions around
discontinuities, the current discretized scheme employs THINC (Tangentof Hyperbola for
INterface Capturing) functions with adaptive sharpness to solve both smooth and
discontinuoussolutions. Due to the essentially monotone and bounded properties of THINC …