Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales.
Immersed methods provide mathematical and computational frameworks for modeling fluid …

Bubble collapse is one of the leading causes for the cavitation erosion of submerged
structures. For better understanding of the destructive mechanism of cavitation, high-fidelity …

We present in this work a new reconstruction scheme, so-called MUSCL-THINC-BVD
scheme, to solve the five-equation model for interfacial two phase flows. This scheme …

We describe a novel interface-sharpening approach for efficient numerical resolution of a
compressible homogeneous two-phase flow governed by a quasi-conservative five …

In this paper we introduce a general framework for defining and studying essentially
nonoscillatory reconstruction procedures of arbitrarily high order of accuracy, interpolating …

We consider the problem of controlling an SIR-model epidemic by temporarily reducing the
rate of contact within a population. The control takes the form of a multiplicative reduction in …

Clawpack is a software package designed to solve nonlinear hyperbolic partial differential
equations using high-resolution finite volume methods based on Riemann solvers and …

The shock waves and high-speed jets induced by the violent collapse of bubbles can cause
serious damage to nearby structures. To fully understand the shock wave and jet …

Motivation Scientists increasingly rely on intelligent information systems to help them in their
daily tasks, in particular for managing research objects, like publications or datasets. The …

In this paper we generalise to non-uniform grids of quad-tree type the Compact WENO
reconstruction of Levy et al.(SIAM J Sci Comput 22 (2): 656–672, 2000), thus obtaining a …