3 edition of **A new method of imposing boundary conditions for hyperbolic equations** found in the catalog.

A new method of imposing boundary conditions for hyperbolic equations

Daniele Funaro

- 267 Want to read
- 17 Currently reading

Published
**1987**
by National Aeronautics and Space Administration, Langley Research Center, For sale by the National Technical Information Service in Hampton, Va, [Springfield, Va
.

Written in English

- Numerical analysis.

**Edition Notes**

Statement | D. Funaro, D. Gottleib. |

Series | ICASE report -- no. 87-44., NASA contractor report -- 178338., NASA contractor report -- NASA CR-178338. |

Contributions | Gottlieb, D., Langley Research Center. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL17659853M |

A more detailed discussion of the implementation of the boundary conditions for the equations of gas dynamics is presented in [ 1]. 2. DIFFERENCE APPROXIMATIONS AND BOUNDARY CONDITIONS In this paper we consider the numerical stability of finite difference approximations for the scalar hyperbolic initial-boundary-value problemCited by: Absorbing Boundary todditions for Second-Order Hyperbolic Equations i.. L,, 4 #AS A-Ta- 1G2C C9) AESCEBI BG EC UEL A8 Y I a 23 s 7 CCLrlDI1[XCiiS PO& EECCIiC-CCDEfi E%F&EECLIC ECttAXIClJS {HAS&. lewis Besearch Center) 32 F CSCL 12A Unclas G3/64 rilG9 i I I,' Hong Jiang! University of Alberta Edmonton, Cad 1, and I. 4 IIi a.

basis function to solve hyperbolic telegraph equation with Neumann boundary conditions. Equation ()isconverted into a system of equations using the transformation = V. e n for approximating the solution we use the collocation of cubic -spline basis functions. Finally we get a system of rst order systems of ordinary di erential equations,Cited by: 9. Hyperbolic PDEs Boundary Values Initial-Boundary Value problems For problems with bounded domains a x b, we also need boundary conditions. The signs of the wave speeds dictate how many conditions are required at each boundary. For example, the advection equation q t+ q x= 0 requires only boundary conditons at x= Size: KB.

Boundary Conditions for Hyperbolic Equations (ref. Chapter 8, Durran) Introduction In numerical models, we have to deal with two types of boundary conditions: a) Physical § e.g., ground (terrain), coast lines, the surface of a car when modeling flow around a moving car. § internal boundaries / . for Hyperbolic! Equations—I! Grétar Tryggvason! Spring ! initial conditions are simply advected by a constant velocity U! t! f! f! x! Computational Fluid Dynamics I! method is exceptionally robust, its low accuracy in space and time makes it unsuitable for most serious.

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A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations* By D. Funaro and D. Gottlieb Abstract. A new method to impose boundary conditions for pseudospectral approxi-mations to hyperbolic equations is suggested.

This. Get this from a library. A new method of imposing boundary conditions for hyperbolic equations. [D Funaro; D Gottlieb; Langley Research Center.].

This method of solution of () is easily extended to nonlinear equations of the form ut +aux =f(t,x,u). () See Exercises, and for more on nonlinear equations of this form. SystemsofHyperbolicEquations We now examine systems of hyperbolic equations with constant coefﬁcients in one space Size: 1MB.

a new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations Users without a subscription are not able to see the full content. Please, subscribe or login to.

In most physical applications of systems of fully hyperbolic first-order partial differential equations (PDEs) the data include not only initial conditions (governing the so-called Cauchy problem) but also boundary conditions (leading to the so-called initial-boundary-value problem or IBVP for short).Cited by: 6.

A new method to impose boundary conditions for pseudospectral approximations to hyperbolic equations is suggested.

This method involves the collocation of the equation at the boundary nodes as. Four different methods of imposing boundary conditions for the linear advection-diffusion equation and a linear hyperbolic system are considered. The methods are analyzed using the energy method and the Laplace transform by: 4.

Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, comprising print, and interactive electronic components (on CD). It is a comprehensive presentation of the modern theory and numerics with a range of applications broad enough to engage most engineering disciplines and many areas of applied Cited by: Request PDF | Imposing various boundary conditions on radial basis functions | This paper presents a new approach for the imposing various boundary conditions on radial basis functions and their.

In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n − 1 derivatives.

More precisely, the Cauchy problem can be locally solved for arbitrary initial data along any non-characteristic of the equations of mechanics are hyperbolic, and so the. Python for Scientists. Python for Scientists. Get access. Buy the print book (), ‘ A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations ’, Math.

Comp. 51, Gardiner, Cited by: 7. Problems of finding solutions of (systems of) partial differential equations of hyperbolic type that satisfy specific conditions on the boundaries of their domains (or on parts of it) (see Boundary conditions; Initial conditions).

A boundary value problem for (a system of) hyperbolic equations in some domain of a Euclidean space is called a mixed or initial boundary value problem if the. The tanh (or hyperbolic tangent) method is a powerful technique to search for travelling waves coming out from one-dimensional nonlinear wave and evolution equations.

In particular, in those problems where dispersive effects, reaction, diffusion and/or convection play an important by: Boundary Conditions for Hyperbolic Equations (ref.

Chapter 8, Durran) Introduction In numerical models, we have to deal with two types of boundary conditions: a) Physical e.g., ground (terrain), coast lines, the surface of a car when modeling flow around a moving car.

internal boundaries / discontinuities b) Artificial / NumericalFile Size: KB. Boundary Conditions For Hyperbolic Systems of Equations on Curved Domains Jan Nordstr om, Markus Wahlsten & Samira Nikkara aDepartment of Mathematics, Computational Mathematics, Link oping University, SE 83 Link oping, Sweden (rom,en,)@ AbstractAuthor: Jan Nordström, Markus Wahlsten, Samira Nikkar.

In the present paper, the finite-difference method for the initial-boundary value problem for a hyperbolic system of equations with nonlocal boundary conditions is studied. The positivity of the difference analogy of the space operator generated by this problem in the space C with maximum norm is established.

The structure of the interpolation spaces generated by this difference operator is Cited by: Intermediate Boundary Conditions for Time-Split Methods Applied to Hyperbolic Partial Differential Equations* By Randall J. LeVeque** Abstract. When time-split or fractional step methods are used to solve partial differential equations numerically, nonphysical intermediate solutions are introduced for which boundary data must often be Size: 1MB.

The first one is an inverse Lax-Wendroff procedure for inflow boundary conditions and the other one is a robust and high order accurate extrapolation for outflow boundary conditions. The method is high order accurate, stable under standard CFL conditions determined by the interior schemes, and easy to Cited by: 9.

The classical LeVeque's book, Numerical Methods for Conservation Laws, give us: These notes concern the solution of hyperbolic systems of conservation laws. ILW for numerical boundary conditions 3 For methods based on the ﬁnite diﬀerence formulation, a second order accurate Cartesian embedded boundary method is developed to solve the wave equations with Dirichlet or Neumann boundary conditions in [17, 18, 19] and to solve hyper-bolic.

approximating the solution of second-order linear hyperbolic par-tial differential equations. This partially motivated our interest in such a method.

In this study, we present a new method called the Euler matrix method based on Euler polynomials, for solving the second-order linear hyperbolic partial differential equations, such that it canFile Size: KB.Abstract.

We present a technique based on collocation of cubic B-spline basis functions to solve second order one-dimensional hyperbolic telegraph equation with Neumann boundary use of cubic B-spline basis functions for spatial variable and its derivatives reduces the problem into system of first order ordinary differential equations.

The resulting system subsequently has been Cited by: 9.The conventional method of imposing time-dependent boundary conditions for Runge–Kutta time advancement reduces the formal accuracy of the space-time method to first-order locally, and second-order globally, independently of the spatial by: