The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …

In the design of the hypersonic airliner which can greatly shorten the flight time and conduct
space travel, it is of great significance for a Riemann solver to accurately simulate …

Solving compressible flows containing both smooth and discontinuous flow structures still
remains a big challenge for finite volume methods, especially on unstructured grids where …

The Roe scheme is known to have high resolution but to be afflicted by the notorious shock
anomalies (such as the carbuncle phenomena) and the unphysical expansion shocks. This …

The weighted essentially non-oscillatory (WENO) scheme is one of the most popular shock-
capturing schemes, and constructing a more efficient and higher-order WENO scheme has …

Compressible flows are numerically simulated using hyperbolic conservation laws. This
study proposes a modified fifth-order weighted essentially non-oscillatory (WENO) scheme …

A construction of the original HLL method for solving problems of relativistic hydrodynamics
by using a piecewise-parabolic reconstruction of the physical variables is described. The …

Appropriate methods and tools accessibility for bi-dimensional flow simulation leads to their
weak use for floods assessment and forecasting in West African countries, particularly in …

Weighted essentially non-oscillator (WENO) scheme is popular in solving hyperbolic
conservation equations. In this work, a novel high resolution fifth-order WENO scheme is …

The low-dissipation Roe scheme is a popular shock capturing scheme but the shock
instability, such as the infamous carbuncle phenomenon, seriously affects its application in …