Ill-posed Cauchy problems for ideal gas equations and their regularization
Integration of the equations of gas dynamics for 2.5-dimensional solutions.
Interaction of shock waves in gas dynamics: uniform in time asymptotics.
Interface tracking method for compressible multifluids
This paper is concerned with numerical methods for compressible multicomponent fluids. The fluid components are assumed immiscible, and are separated by material interfaces, each endowed with its own equation of state (EOS). Cell averages of computational cells that are occupied by several fluid components require a “mixed-cell” EOS, which may not always be physically meaningful, and often leads to spurious oscillations. We present a new interface tracking algorithm, which avoids using mixed-cell...
Invariants of characteristics of some systems of partial differential equations.
Irregular partially invariant solutions of rank 2 and defect 1 to equations of gas dynamics.
Is GPU the future of Scientific Computing ?
These past few years, new types of computational architectures based on graphics processors have emerged. These technologies provide important computational resources at low cost and low energy consumption. Lots of developments have been done around GPU and many tools and libraries are now available to implement efficiently softwares on those architectures.This article contains the two contributions of the mini-symposium about GPU organized by Loïc Gouarin (Laboratoire de Mathématiques d’Orsay),...