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Monday, February 3, 2020 | History

4 edition of Front tracking and two dimensional Riemann problems. found in the catalog.

Front tracking and two dimensional Riemann problems.

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Published by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English


Edition Notes

StatementBy J. Glimm, C. Klingenberg, O. McBryan, B. Plohr, D. Sharp, S. Yaniv.
ContributionsKlingenberg, C., McBryan, O., Plohr, B., Sharp, D., Yaniv, S.
The Physical Object
Pagination36 p.
Number of Pages36
ID Numbers
Open LibraryOL17867134M

Li, Stability and non-relativistic limits of rarefaction wave to the 1-D piston problem for the relativistic Euler equations Z. When the pressure of the upstream supersonic flow is larger than that of the quiescent gas, there appears a strong rarefaction wave to rarefy the supersonic gas. The techniques and ideas developed here will be useful for other nonlinear problems involving similar difficulties. Gauss recommended that Riemann give up his theological work and enter the mathematical field; after getting his father's approval, Riemann transferred to the University of Berlin in DingExistence and stability of rarefaction wave to 1-D piston problem for the relativistic full Euler equations, J.

This is the code associated with J. The main ingredients are careful analysis of wave interactions and construction of suitable Glimm functional, to overcome the difficulty that the strong rarefaction wave has a large total variation. Since the solution of the Cauchy problem usually requires the solution of a large number of Riemann problems, the presence of a general and highly efficient solver of Riemann is topical. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Author s :Helge Holden; Nils H.

This is the code associated with J. Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system. Google Scholar [11] M. Systems of conservation laws in one dimension are treated in detail, starting with the solution of the Riemann problem.


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Front tracking and two dimensional Riemann problems. by James Glimm Download PDF Ebook

On the other hand, there has been no rigorous mathematical result on the global existence and structural stability of shock reflection, including the case of potential flow which is widely used in aerodynamics.

Front tracking and two dimensional Riemann problems. book the second problem, detonations propagating down a compliantly confined pencil-shaped configuration are computed for a variety of cone angles of the tapered section.

The present investigation continues to focus on the potential for detonation failure within the ignition-and-growth IG model, but now for a compliant confinement of the explosive.

Holden and N. In the first problem, the corner-turning configuration is re-examined, and it is shown that in the matter of detonation failure, the absence of rigid confinement does not affect the outcome in a material way; sustained dead zones continue to elude the model. These prominent features of fluid dynamics present formidable challenges to numerical simulations of their mathematical Front tracking and two dimensional Riemann problems.

book. Keywords: Riemann problem, three-phase flow, filtration. ZhaoStability of transonic jet with strong shock in two-dimensional steady compressible Euler flows, J. Ding, Stability of rarefaction wave to the 1-D piston problem for exothermically reacting Euler equations Calc.

Google Scholar [KZ] Klingenberg, Zhu, Stability of difference approximations for initial boundary value problems applied to two dimensional front tracking, Proc. Google Scholar [7] G. Numerical results are presented for several typical two-dimensional interface problems, including flows with surface tension.

Riemann refused to publish incomplete work, and some deep insights may have been lost forever. The essentially nonlinear nature of these waves calls for nonlinear methods.

The main ingredients are careful analysis of wave interactions and construction of suitable Glimm functional, to overcome the difficulty that the strong rarefaction wave has a large total variation. His teachers were amazed by his adept ability to perform complicated mathematical operations, in which he often outstripped his instructor's knowledge.

Jump to navigation Jump to search A Riemann problem, named after Bernhard Riemannis a specific initial value problem composed of a conservation equation together with piecewise constant initial data which has a single discontinuity in the domain of interest.

The statement of the Riemann problem is presented. Google Scholar Copyright information. Most of the pre-existing solutions of the Riemann problem with respect to three-phase filtration were limited to the consideration of simplified functions of relative permeability, in which the relative permeability for each phase depends only on the saturation of this phase.

An example of such a solver is described in [1], which is also based on the use of the predictor-corrector strategy, the algorithm of which is as follows: 1. Bressan, P. Problems, ed. The interfaces are represented by a collection of element boundaries and their position is updated using an arbitrary Lagrangian—Eulerian method.

Systems of conservation laws in one dimension are treated in detail, starting with the solution of the Riemann problem. YuanWell-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows, Z.

The algorithm for solving the Riemann problem is considered in detail in the article. Google Scholar [11] M.In this paper we describe a front-tracking algorithm for modeling the propagation of discontinuous waves in two space dimensions.

The algorithm uses a volume-of-fluid representation of the front in which the local frontal geometry is reconstructed from the state information on either side of the discontinuity and the Rankine-Hugoniot relations.

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

Abstract. When a plane shock hits a wedge head on, it experiences a reflection-diffraction process and then a self-similar reflected shock moves outward as the original shock moves forward Front tracking and two dimensional Riemann problems.

book 42comusa.com by: We study supersonic flow past a convex corner which is surrounded by quiescent gas. When the pressure of the upstream supersonic flow is larger than that of the quiescent gas, there appears a strong rarefaction wave to rarefy the supersonic gas.

Meanwhile, a transonic characteristic discontinuity appears to separate the supersonic flow behind the rarefaction wave from the static 42comusa.com: Min Ding, Hairong Yuan.Riemann solver. The analogy pdf to the two-dimensional HLLC Riemann solver.

A study of the two-dimensional Riemann problems from Schulz-Rinne, Collins and Glaz [47] shows that the region of strong interaction can give rise to a rich array of flow structures.

However, a.A discontinuous Galerkin front tracking method for two-phase flows with surface tension Download pdf results are presented for several typical two-dimensional interface problems, including flows with surface tension.

Riemann problems at the interface have to be solved to compute the numerical flux and the interface motion taking into Cited by: submitted Volker Springel, Christian Klingenberg, Rüdiger Pakmor, Ebook Guillet, ebook Praveen Chandrashekar: “Towards exascale simulations of the magnetic universe”, submitted () view PDF Kanbar, Touma, Klingenberg: “Well-balanced Central Schemes for the One and Two dimensional Euler Systems with Gravity”, submitted () view PDF A.

Thomann, M. Zenk, G. Puppo, C. Klingenberg.