Being a general fractional-step solver, the characteristic-based split (CBS) scheme not only
works out a broad range of fluid flow problems but also underpins an emerging partitioned …

There is an important interaction between the pumping performance of the ventricle, arterial
haemodynamics and coronary blood flow. While previous non‐linear 1D models have …

This review article summarizes the basis and recent developments on the combined
interface boundary condition (CIBC) method for the numerical simulation of fluid–structure …

This current study's primary aim is to discover new and exact traveling wave solutions to the
time-fractional phi-four equation and the (2+ 1) dimensional Calogero–Bogoyavlanskil schilf …

In this paper, two versions of a second-order characteristic-based split scheme are
developed in the framework of incremental projection method for the solution of …

In this paper, we propose implicit and semi-implicit in time finite volume schemes for the
barotropic Euler equations (hence, as a particular case, for the shallow water equations) and …

Topographic steering of waves and currents is one of the most important issues of the
general ocean circulation. Its representation in ocean models depends on the spatial …

In this paper, the cell‐based smoothed finite element method (CS‐FEM) with the semi‐
implicit characteristic‐based split (CBS) scheme (CBS/CS‐FEM) is proposed for …

We present in this paper a pressure correction scheme for the barotropic compressible
Navier-Stokes equations, which enjoys an unconditional stability property, in the sense that …

A sharp-interface algorithm developed for immersed smoothed finite element method (Sharp-
ISFEM) is proposed for fluid–structure interaction (FSI) problems. In Sharp-ISFEM, a line …