A totally Eulerian finite volume solver for multi-material fluid flows

Braeunig, Jean-Philippe; Desjardins, Benoı̂t; Ghidaglia, Jean‐Michel

doi:10.1016/j.euromechflu.2009.03.003

Cited by 21 publications

(29 citation statements)

References 7 publications

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“…All the work we performed are applied to the FVCF flux scheme solver [5] but the modifications performed in the code can be adapted at any other finite volume solver: Roe [12], Lax-Friedrichs... Furthermore, it would be interesting to treat test cases with comparisons to experiments or to other codes and especially to check the behavior of u θ in the simulations.…”

Section: Discussionmentioning

confidence: 99%

“…3.1. Study of the precision of the scheme has already been done for the 2D version and can be found in previous articles [5,3,9].…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…We have also extended the 2D FVCF-NIP method ( [4], [5]) (which is an extension of the original FVCF scheme which deals with two materials flows with sharp interface capturing) in the 3D case with cylindrical symmetry. Details are given in the technical report Bernard-Champmartin et al [2] and the numerical results presented in the following section (Sec.…”

Section: Extension To the Two Materials Casementioning

confidence: 99%

“…In Braeunig et al [5], a Eulerian Finite Volume solver was built for the computation of 1D, 2D and 3D multi-material flows obeying to the compressible Euler equations. This solver was an extension to multi-material flows with sharp interfaces of the Finite Volume with Characteristic Flux (FVCF) solver 1 (Ghidaglia et al [7]) designed for single fluid or multi-fluid without sharp interfaces.…”

Section: The 3d Axisymmetric Euler Equationsmentioning

confidence: 99%

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An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry

2013

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Section: Discussionmentioning

confidence: 99%

“…3.1. Study of the precision of the scheme has already been done for the 2D version and can be found in previous articles [5,3,9].…”

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Extension To the Two Materials Casementioning

confidence: 99%

Section: The 3d Axisymmetric Euler Equationsmentioning

confidence: 99%

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An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry

2013

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“…Different approaches can be used for the solution of hydrodynamics equations: Eulerian [3,2], Lagrangian [14,7] or ALE [1,16]. In this work, a Lagrangian finite element approach is exploited to describe strong evolving material interfaces and shocks propagations.…”

Section: Introductionmentioning

confidence: 99%

A Lagrangian Finite Element Method for the Simulation of 3d Compressible Flows

Cremonesi¹,

Frangi²

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. The numerical solution of compressible fluid flows is of paramount importance in many industrial and engineering applications. Compared to the classical fluid dynamics, the introduction of the fluid compressibility changes the formulation of the problem and consequently its computational treatment.Among the possible numerical solutions of compressible flow problems, the finite element method has always been privileged. However, the standard Eulerian approaches with fixed domain are not particularly suited to represent the strong shock waves and the significant movement of the external boundaries. On the contrary, in problems characterized by evolving surfaces, Lagrangian approaches can be very effective.The governing equations of compressible flow problems are mass, momentum and energy conservation. These equations are discretized in the spirit of the Lagrangian Particle Finite Element Method (PFEM). The strong distortions of the mesh, typical of the Lagrangian approaches, are managed with a continuous remeshing of the computational domain. The nodal unknowns are velocities, density and internal energy. To fully exploit the potential of continuous remeshing, only nodal variables are stored and consequently only linear interpolation are used. In addition, an artificial viscosity has been introduced to stabilize the formation and propagation of shock waves. Finally, explicit time integration of the governing equations enables a highly efficient solution of the discretized problem.The proposed approach has been validated against typical benchmarks of gas dynamics in the presence of strong shock waves. A very good agreement has been shown in all the tests proving the excellent accuracy and versatility of the proposed method.

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On the composite Riemann problem for multi‐material fluid flows

Men’shov

Zakharov

2014

Numerical Methods in Fluids

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SUMMARY We develop an Eulerian fixed grid numerical method for calculating multi‐material fluid flows. This approach relates to the class of interface capturing methods. The fluid is treated as a heterogeneous mixture of constituent materials, and the material interface is implicitly captured by a region of mixed cells that have arisen owing to numerical diffusion. To suppress this numerical diffusion, we propose a composite Riemann problem (CRP), which describes the decay of an initial discontinuity in the presence of a contact point between two different fluids, which is located off the initial discontinuity point. The solution to the CRP serves to calculate multi‐material no mixed numerical flux without introducing any material diffusion. We discuss the CRP solution and its implementation in the multi‐material fluid Godunov method. Numerical results show that a simple framework of the CRP greatly improves capturing material interfaces in the Godunov method and reproduces many of the advantages of more complicated interface tracking multi‐material treatments. Copyright © 2014 John Wiley & Sons, Ltd.

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A totally Eulerian finite volume solver for multi-material fluid flows

Cited by 21 publications

References 7 publications

An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry

An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry

A Lagrangian Finite Element Method for the Simulation of 3d Compressible Flows

On the composite Riemann problem for multi‐material fluid flows

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