Numerical study on compressible two-medium flows has been a hot issue in recent
decades. In this study, we design quasi-conservative finite difference alternative weighted …

The weighted essentially non-oscillatory (WENO) interpolation-based schemes (the
alternative WENO (AWENO) scheme and the explicit weighted compact nonlinear (WCNS …

In this work, a bound-and positivity-preserving quasi-conservative discontinuous Galerkin
(DG) method is proposed for the γ-based model of compressible two-medium flows. The …

For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …

We describe a quasi-conservative finite difference AWENO scheme with the affine-invariant
Z-type nonlinear weights (Ai-AWENO) for the γ-based model. The shockcapturing scheme …

Following the proposition of the original AWENO (Alternative Formulation of Weighted
Essentially Non‐Oscillatory) FD (Finite Difference) scheme, we construct the new AMDCD …

A novel shock sensor based on image segmentation is proposed for flows with shock or
detonation waves. It consists of a function computed based on the numerical Schliren …

We propose a fifth-order finite-difference bound-and positivity-preserving (BP-P) path-
conservative central-upwind alternative weighted essentially non-oscillatory (PCCU …

For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …

An improved affine-invariant trigonometric weighted essentially non-oscillatory (Ai-TWENO)
finite difference schemes are developed to address the limitations of existing TWENO …