This paper addresses the following question: Is there any kind of effective density for the description of momentum transport of a compressible fluid in porous media? Pioneering 1956 Biot’s results and subsequent experimental and theoretical work suggest the convenience of introducing an...

In this paper, we consider a model of flow of two compressible and immiscible phases in a three-dimensional porous media. The equations are obtained by the conservation of the mass of each phase. This model is treated in its general form with the whole nonlinear terms. We establish an existence...

The simulation of pressure waves in inlet and exhaust manifolds of internal combustion engines remains challenging. In this paper, a new model is presented in order to analyze these pressures waves without the use of a one-dimensional description of the system. It consists on studying the system...

This work is concerned with the simulation of inviscid compressible flow in time-dependent domains. We present an arbitrary Lagrangian–Eulerian (ALE) formulation of the Euler equations describing compressible flow, discretize them in space by the discontinous Galerkin method and introduce a...

“Can a single car really absorb a traffic jam without making new jams?” In this paper, we focus on this frequently-discussed question, and have succeeded in making a theoretical framework of a driving technique how to absorb a traffic jam by using a minimal microscopic model. Jam-absorption...

The future use of electric vehicles in the southern regions of the world could face several problematics related to high temperature, mostly when charging at high power. This paper proposes a new external cooling solution for cooling EV batteries pack at higher temperature conditions especially...

This paper introduces the probabilistic formulation of continuous-time economic models: forward stochastic differential equations (SDE) govern the dynamics of backward-looking variables, and backward SDEs capture that of forward-looking variables. Deep learning streamlines the search for the...

In the present study, the finite volume method (FVM) is adopted to investigate the effect of gas outlet on the fluid field generated by a hot filament chemical vapor deposition (HFCVD) setup that is designed for the mass-production of diamond coated drills. The temperature field is calculated...

Numerical simulation of a suspended stirrer within a homogenizing system is performed towards determining the mixing performance of a homogenizer. A two-dimensional finite volume formulation is developed for the cylindrical system that is used for the storage and stirring of biodegradable food...