to the fact that previous models used unstable schemes to solve the physical equations governing a fluid. In this paper, for the first time, we propose an unconditionally stable model which still produces complex fluid-like flows. As well, our method is very easy to implement. The stability of our model

Several methods have been previously used to approximate free boundaries in finite difference numerical simulations. A simple, but powerful, method is described that is based on the concept of a fractional volume of fluid (VOF). This method is shown to be more flexible and efficient than other

While Eulerian schemes work well for most gas flows, they have been shown to admit nonphysical oscillations near some material interfaces. In contrast,...

destroy potential oxidants, and to scavenge ROS. Thus, A simple, automated test measuring the ferric reduc-oxidative stress-induced tissue damage is minimized. ing ability of plasma, the FRAP assay, is presented as However, an absolute or relative deficiency of antioxia novel method for assessing

The level set method for compressible flows [13] is simple to implement, especially in the presence of topological changes. However, this method was shown to suffer from large spurious oscillations in [11]. In [4], a new Ghost Fluid Method (GFM) was shown to remove these spurious oscillations

detonation discontinuities

OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in:

Abstract. This paper proves the convergence of the ghost fluid method for second order elliptic partial differential equations with interfacial jumps. A weak formulation of the problem is first presented, which then yields the existence and uniqueness of a solution to the problem by classical

The level set method for multiphase compressible flows [19] is simple to implement, especially in the presence of topological changes. However, this method was shown to suffer from large spurious oscillations in [15]. In [7], a new Ghost Fluid Method (GFM) was developed to remove these spurious

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