Finite Difference Methods of Solution of Nonlinear Flow Processes with Application to the Ben©Øard Problem

Finite Difference Methods of Solution of Nonlinear Flow Processes with Application to the Ben©Øard Problem PDF Author: Jacob E. Fromm
Publisher:
ISBN:
Category : Finite differences
Languages : en
Pages : 138

Get Book Here

Book Description
A general method of numerical calculation of compressible flows is outlined in which such flows are divided into irrotational and solenoidal parts. The general equations are reduced to the Boussinesq approximation for consideration of the B©Øenard problem. The B©Øenard problem, both in method of solution and result, is used to analyse a number of crucial aspects of finite difference calculation. In particular, the nonlinear formulations in current use are developed and related in a systematic way; and, in addition, some higher order methods are derived. Examples of the time-dependent behavior of the thermal convection problem are examined for physical interpretation in terms of gross property measurements and character of instantaneous solutions with the hope that the experience so gained will be valuable to extensions of the numerical method to more general problems.

Solutions to Nonlinear Incompressible Flow Problems Through a Finite Difference Method

Solutions to Nonlinear Incompressible Flow Problems Through a Finite Difference Method PDF Author: Jacob E. Fromm
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 0

Get Book Here

Book Description

Solutions to nonlinear incompressible flow problems through a finite difference method

Solutions to nonlinear incompressible flow problems through a finite difference method PDF Author: Jacob E. Fromm
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 25

Get Book Here

Book Description

Nonlinear Error Analysis of Finite Difference Solutions of Turbulent and Unsteady Flow Fields

Nonlinear Error Analysis of Finite Difference Solutions of Turbulent and Unsteady Flow Fields PDF Author: D. S. McRae
Publisher:
ISBN:
Category :
Languages : en
Pages : 248

Get Book Here

Book Description
A computational analysis is performed for the truncation errors incurred in the numerical time integration of the unsteady and/or turbulent Navier-Stokes equations. The means of analysis is via the modified equation approach. Both the MacCormack explicit and Beam-Warming implicit numerical methods are considered. A simplified analysis applied to Burger's equation indicates that the leading order term is both dissipative and dispersive. The modified equation is derived for the aforementioned explicit and implicit methods as applied to the full two-dimensional Navier-Stokes equations. Development of the required Fortran code for solution of the modified equation is expedited through the use of the symbolic manipulation language, MACSYMA. Keywords: Programming languages, Turbulent flow, Supersonic flow. (edc).