The Euler Equations for Multiphase Compressible Flow in Conservation Form

Hankin, Robin K. S.

doi:10.1006/jcph.2001.6859

Cited by 29 publications

(18 citation statements)

References 35 publications

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“…and u ð1Þ mL and u ð1Þ mR according to (15). After a satisfactory convergence of the scheme, u m can then be calculated based on the formula:…”

Section: Shock-only Solvermentioning

confidence: 99%

“…For non-barotropic multicomponent problems, it is known in the literature that the principal difficulty in the usual extension is the occurrence of spurious pressure oscillations when two or more fluid components are present in a uniform Cartesian grid cell, see the sample numerical methods proposed in [1][2][3]12,15,18,21,30,43] for more exposition. For the current application of barotropic flows, there is, however, a relatively few methods developed for the matter, see the recent work of Koren et al [23], and van Brummelen and Koren [54] for a concise survey.…”

Section: Introductionmentioning

confidence: 99%

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A fluid-mixture type algorithm for barotropic two-fluid flow problems

Shyue

2004

Journal of Computational Physics

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“…and u ð1Þ mL and u ð1Þ mR according to (15). After a satisfactory convergence of the scheme, u m can then be calculated based on the formula:…”

Section: Shock-only Solvermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A fluid-mixture type algorithm for barotropic two-fluid flow problems

Shyue

2004

Journal of Computational Physics

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“…Based on volume of fluid model (Hankin, 2001;Miller and Puckett, 1996;Saurel, 1999), we utilize the PPM method and interface tracking to solve Euler hydrodynamic equations, and refer to a two-step Lagrange/Remap algorithm to solve multi-fluid problems. The first step is Lagrange step in which the computation cells are distorted to follow the material motion, and the second step is Remap step where the distorted cells are mapped back to the Euler meshes.…”

Section: Basic Equationsmentioning

confidence: 99%

An Algorithm for the Hypervelocity Launcher Simulation of High-Low Density Flyer Plates

Bai

Jing-Song

et al. 2009

Engineering Applications of Computational Fluid Mechanics

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ABSTRACT:In this paper, we present a numerical method to simulate the hypervelocity launcher (HVL) experiment in which the two-stage light-gas gun impact launches flyers to hypervelocity. HVL is a complex process in numerical simulation, which includes multi-materials, multi-interfaces, huge distortion, high densities and severe shock wave problems, etc. A two-step Euler high-resolution finite volume scheme is used to solve the multi-fluid hydrodynamic equations. The first step is the Lagrange step in which the computation cells are distorted to follow the material motion, and the second step is the Remap step where the distorted cells are mapped back to the Euler meshes. Based on the Volume of Fluids model (VOF) and parabolic piecewise method (PPM), a shock wave physics code named multi-fluid parabolic piecewise method (MFPPM) is developed to simulate the experimental configuration of the hypervelocity launchers and the resolution of the algorithm is also tested. We emphasize the distinguished features of the code that aid in understanding the sensitivity of hypervelocity launcher calculations to the numerical methodology. The MFPPM code is verified and validated by simulating a series of hypervelocity launcher experiments implemented in Sandia National Laboratories. Good agreements are shown when comparing the numerical results with experimental data. Besides, in our National Key Laboratory for Shock Wave and Detonation Physics Research, two new models of the high/low density (Tantalum / Titanium) flyer plates HVL experiment are simulated by the code. Again, the numerical results and experimental data agree well with each other.

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“…It is still difficult to track the material interface accurately and efficiently in computational fluid dynamics. There are a number of numerical methods developed to solve the interface problems, such as VOF method (Hankin, 2001;Wang et al, 2004;Tang, Wrobel and Fan, 2004), Level-set method (Xiao and Ebisuzaki, 1998;Xu, 1997), Gamma based model method (Abgrall, 2003), etc. However, some common problems are encountered in using these methods.…”

Section: Introductionmentioning

confidence: 99%

A Method Based on Riemann Problem in Tracking Multi-Material Interface On Unstructured Moving Grids

Wang

Hou-qian

2007

Engineering Applications of Computational Fluid Mechanics

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ABSTRACT:The material interface is tracked by solving the arbitrary Lagrangian-Eulerian (ALE) formulation during the simulation of the compressible multi-material flow. The material interface is looked upon as a Lagrangian interface which can move freely and is composed of a number of edges of the unstructured grids and the state vectors of the points on the interface have two different definitions corresponding to the two different fluids. Then, Riemann problem is solved by the two-shock approximation method for general form of equation of state on both sides of the interface to track the interface accurately and the grids are moving automatically with the motion of the interface. The 1D spherically symmetric underwater explosion model is computed by using ALE method and the numerical results agree well with the experimental data, which indicates that the interface tracking method is reasonable. Furthermore, interaction between shock and water surface is also simulated to show that this method is suitable for solving microdeforming interface problem.

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The Euler Equations for Multiphase Compressible Flow in Conservation Form

Cited by 29 publications

References 35 publications

A fluid-mixture type algorithm for barotropic two-fluid flow problems

A fluid-mixture type algorithm for barotropic two-fluid flow problems

An Algorithm for the Hypervelocity Launcher Simulation of High-Low Density Flyer Plates

A Method Based on Riemann Problem in Tracking Multi-Material Interface On Unstructured Moving Grids

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