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Wednesday, May 20, 2020 | History

2 edition of **Analysis of boundary conditions for factorizable discretizations of the Euler equations** found in the catalog.

Analysis of boundary conditions for factorizable discretizations of the Euler equations

Boris Diskin

- 156 Want to read
- 29 Currently reading

Published
**2002**
by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, Springfield, VA
.

Written in English

- Lagrange equations -- Numerical solutions.,
- Error analysis (Mathematics),
- Mathematical optimization.,
- Approximation theory,
- Multigrid methods (Numerical analysis),
- Boundary value problems -- Numerical solutions.

**Edition Notes**

Other titles | ICASE |

Statement | Boris Diskin, James L. Thomas. |

Series | ICASE report -- no. 2002-13, NASA/CR -- 2002-211648, NASA contractor report -- NASA CR-2002-211648. |

Contributions | Thomas, James L. 1952-, Institute for Computer Applications in Science and Engineering., Langley Research Center. |

Classifications | |
---|---|

LC Classifications | CR2002 .W211648 |

The Physical Object | |

Pagination | 26 p. : |

Number of Pages | 26 |

ID Numbers | |

Open Library | OL21494988M |

This book deals with numerical methods for solving partial differential equa tions (PDEs) coupling advection, diffusion and reaction terms, with a focus on time-dependency. A combined treatment is presented of methods for hy perbolic problems, thereby emphasizing the one-way wave equation, meth ods for parabolic problems and methods for stiff and non-stiff ordinary dif ferential equations (ODEs)/5(3). The asymptotic wave behavior of solution for the Euler equations with damping in R + n is investigated around a given constant equilibrium in this paper. Three classical boundary condition cases are considered here. New approaches and techniques are introduced to deal with Author: Linglong Du.

Jiali Lian, Global well-posedness of the free-surface incompressible Euler equations with damping, Journal of Differential Equations, /, (). Crossref Yuri Trakhinin, Well-posedness of the free boundary problem in compressible elastodynamics, Journal of Differential Equations, , 3, (), ().Cited by: The purpose of this paper is to present asymptotically stable open boundary conditions for the numerical approximation of the compressible Navier–Stokes equations in three spatial dimensions. The treatment uses the conservation form of the Navier–Stokes equations and utilizes linearization and localization at the boundaries based on these proposed boundary conditions are Cited by:

Euler equations. For other concepts of artificial boundary conditions we refer to [1, 4, 3, 5]. 2. Absorbing boundary conditions for first-order symmetrizable systems with constant coefficients In this section we shall transform a general first-order system with constant coefficients to a decoupled system of ordinary differential equations. In this. In this section we’ll define boundary conditions (as opposed to initial conditions which we should already be familiar with at this point) and the boundary value problem. We will also work a few examples illustrating some of the interesting differences in using boundary values instead of initial conditions in solving differential equations.

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Analysis of Boundary Conditions for Factorizable Discretizations of the Euler Equations Contract Number Grant Number Program Element Number Author(s) Boris Diskin,James L. Thomas Project Number Task Number Work Unit Number Performing Organization Name(s) and Address(es) ICASE Mail Stop C NASA Langley Research Center Hampton, VA NASA/CR ICASE Report No.

y Analysis of Boundary Conditions for Factorizable Discretizations of the Euler Equations Boris Diskin. Boundary Conditions for Euler Equations. Stability of Semiconductor States with Insulating and Contact Boundary Conditions. 20 April | Archive for Rational Mechanics and Analysis, Vol.

No. Recommended. Upwind Finite Volume Schemes for One and Two Dimensional Euler by: 5. For the discretization (9), two numerical closure equations are required at the inflow boundary and one numerical closure equation is required at the outflow boundary and the body surface.

initial boundary value problem and that, combined with proper numeri-cal boundary conditions, they lead to strongly stable discretizations of the linearized Euler equations. This paper reports on a significant advance in the area of non-reflecting boundary conditions (NRBCs) for unsteady flow computations.

As a part of the development of the space-time conservation element and solution element (CE/SE) method, sets of NRBCs for 1D Euler problems are developed without using any characteristics-based techniques.

These. By using the entropy function for the Euler equations as a measure of energy for the Navier-Stokes equations, it was possible to obtain nonlinear energy estimates for the mixed initial boundary. Curvature-Based Wall Boundary Condition for the Euler Equations on Unstructured Grids of boundary conditions, the characteristic analysis has been used to guide the development of physical and numerical boundary con-ditions.

For example, the wall boundary condition developed by. The artificial boundary conditions for the linearized Euler equations The two dimensional linearized Euler equations have the form (A.1) ∂ t u + A u x + B u y = 0, with u = u v p, A = M x 0 1 0 M x 0 1 0 M x, B = M y 0 0 0 M y 1 0 1 M y where u is the solution variable vector with components the velocity v = (u, v) and p is the by: 5.

Therefore, we will give a detailed discussion of the one-dimensional boundary treatments for the Euler equations in Sectionwhile the multi-dimensional aspects will be dealt with in Section Section gives a brief mention of far-field boundary conditions, while Section discusses the question of the Kutta condition with EulerFile Size: 1MB.

Artificial boundary conditions for the numerical solution of the Euler equations by the discontinuous galerkin method Journal of Computational Physics, Vol. No. 15 Towards aeroacoustic sound generation by flow through porous media.

This paper presents a unified theory for the construction of steady-state and unsteady nonreflecting boundary conditions for the Euler equations. boundary conditions requires knowledge of the support parameters.

In this paper, a new method is developed to determine the boundary parameters based on the solution of reduced order characteristic equations. The order of these non-linear equations is equal to the numberof boundary degreesof freedomwhich is a small fraction of the orderof the full.

() Duality based boundary conditions and dual consistent finite difference discretizations of the Navier–Stokes and Euler equations.

Journal of Computational Physics() High-order accurate difference schemes for the Hodgkin–Huxley by: This formulation of boundary conditions is only a weak one, since it is just via fluxes.

For the vortex: Look at a paper of Thomas and Salas: Thomas, J.L., Salas, M.D., Far--Field Boundary Conditions for Transonic Lifting Solutions to the Euler Equations AIAA J., 24,pp.

formulation of nonreflecting boundary conditions and the application to the Euler equations.5 This report presents a unified view of the theory, with some extensions required for the Euler equations, and does so using the simplest approach possible based upon linear analysis. In taking this approach some rigor is sacrificed, and the conditions.

The equations are closed by the specification of thermodynamical properties of the fluid. We present appropriate formulations for perfect (ideal) gases, as well as for real gases. We conclude with a discussion of simplified governing equations, namely with thin shear-layer approximation, parabolized Navier-Stokes equations, and with Euler.

Euler equations in order to predict eﬀects of bomb blast waves following WW II at the beginning of the volume discretizations, and in essentially all cases they will be restricted to two space dimensions. But Comparison of two boundary condition assignments for the Poisson equation 10File Size: 1MB.

() has to be equipped with an initial condition u(0;x) and appropriate boundary conditions on (0;T)@. 2 Remark Boundary conditions. For the theory and the numerical simulation of partial di erential equations, the choice of boundary conditions is of utmost importance. For the heat equation (), one can prescribe the following types ofCited by: 5.

Euler calculations with embedded Cartesian grids and small-perturbation boundary conditions Journal of Computational Physics, Vol.

No. 9 Numerical experiments with several variant WENO schemes for the Euler equationsCited by:. The Navier–Stokes equations at high Reynolds numbers can be viewed as an incompletely elliptic perturbation of the Euler equations.

By using the entropy function for the Euler equations as a measure of “energy” for the Navier–Stokes equations we are able to obtain nonlinear “energy” estimates for the mixed initial boundary value by: This chapter proceeds to a classification, describing which boundary conditions are dissipative in the classical sense.

It gives an explicit though simple construction of the Lopatinskii determinant. It then provides an explicit form of a dissipative Kreiss' symmetrizer under the uniform K.-L. condition.Finite Difference Methods for Ordinary and Partial Differential Equations Steady-State and Time-Dependent Problems Randall J.

LeVeque University of Washington Seattle, Washington Society for Industrial and Applied Mathematics • Philadelphia 6/4/ AM Page 3.