This paper presents a simple and practical scheme for capturing moving interfaces or free
boundaries in multi‐fluid simulations. The scheme, which is called THINC (tangent of …

We propose a novel method for alleviating the stringent CFL condition imposed by the
sound speed in simulating inviscid compressible flow with shocks, contacts and rarefactions …

This paper presents a generalization of an all-Mach formulation for multiphase flows
accounting for surface tension and viscous forces. The proposed numerical method is based …

A conservative finite-volume framework, based on a collocated variable arrangement, for the
simulation of flows at all speeds, applicable to incompressible, ideal-gas and real-gas fluids …

Following our previous paper on a novel finite volume formulation for computing flows of any
Mach number, we present the multi-dimensional extension of the method in this paper …

Within the framework of diffuse interface methods, we derive a pressure‐based Baer–
Nunziato type model well‐suited to weakly compressible multiphase flows. The model can …

A unified method for simulating multiphase flows using an exactly mass, momentum, and
energy conserving Cell-Integrated Semi-Lagrangian advection algorithm is presented. The …

A global numerical model for shallow water flows on the cubed-sphere grid is proposed in
this paper. The model is constructed by using the constrained interpolation profile/multi …

A pressure-based algorithm for the simulation of compressible interfacial flows is presented.
The algorithm is based on a fully-coupled finite-volume framework for unstructured meshes …

Fourier analysis based optimization techniques have been developed for numerical
schemes on structured grids and result in significant performance improvements. However …