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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

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.

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

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.

Numerical Electromagnetics

Numerical Electromagnetics PDF Author: Umran S. Inan
Publisher: Cambridge University Press
ISBN: 1139497987
Category : Science
Languages : en
Pages : 405

Book Description
Beginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything they need to know to begin writing FDTD simulations from scratch and to develop a thorough understanding of the inner workings of commercial FDTD software. Stability, numerical dispersion, sources and boundary conditions are all discussed in detail, as are dispersive and anisotropic materials. A comparative introduction of the finite volume and finite element methods is also provided. All concepts are introduced from first principles, so no prior modeling experience is required, and they are made easier to understand through numerous illustrative examples and the inclusion of both intuitive explanations and mathematical derivations.

A Time-dependent Method for Calculating Supersonic Blunt-body Flow Fields with Sharp Corners and Embedded Shock Waves

A Time-dependent Method for Calculating Supersonic Blunt-body Flow Fields with Sharp Corners and Embedded Shock Waves PDF Author: Richard W. Barnwell
Publisher:
ISBN:
Category : Blunt bodies
Languages : en
Pages : 76

Book Description


NASA Technical Note

NASA Technical Note PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 516

Book Description


A Bibliography for the Numerical Solution of Partial Differential Equations

A Bibliography for the Numerical Solution of Partial Differential Equations PDF Author: John H. Giese
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 126

Book Description
A list of 2561 references to the numerical solution of partial differential equations has been compiled. References to reviews in several abstracting journals have been given, and a crude index has been prepared. (Author).

Frontiers of Computational Fluid Dynamics 2002

Frontiers of Computational Fluid Dynamics 2002 PDF Author: Robert William MacCormack
Publisher: World Scientific
ISBN: 9789812810793
Category : Technology & Engineering
Languages : en
Pages : 528

Book Description
This series of volumes on the OC Frontiers of Computational Fluid DynamicsOCO was introduced to honor contributors who have made a major impact on the field. The first volume was published in 1994 and was dedicated to Prof Antony Jameson; the second was published in 1998 and was dedicated to Prof Earl Murman. The volume is dedicated to Prof Robert MacCormack. The twenty-six chapters in the current volume have been written by leading researchers from academia, government laboratories, and industry. They present up-to-date descriptions of recent developments in techniques for numerical analysis of fluid flow problems, and applications of these techniques to important problems in industry, as well as the classic paper that introduced the OC MacCormack schemeOCO to the world. Contents: The Effect of Viscosity in Hypervelocity Impact Cratering (R W MacCormack); The MacCormack Method OCo Historical Perspective (C M Hung et al.); Numerical Solutions of Cauchy-Riemann Equations for Two and Three Dimensional Flows (M M Hafez & J Houseman); Extension of Efficient Low Dissipation High Order Schemes for 3-D Curvilinear Moving Grids (M Vinokur & H C Yee); Scalable Parallel Implicit Multigrid Solution of Unsteady Incompressible Flows (R Pankajakshan et al.); Lattice Boltzmann Simulation of Incompressible Flows (N Satofuka & M Ishikura); Numerical Simulation of MHD Effects on Hypersonic Flow of a Weakly Ionized Gas in an Inlet (R K Agarwal & P Deb); Development of 3D DRAGON Grid Method for Complex Geometry (M-S Liou & Y Zheng); Advances in Algorithms for Computing Aerodynamic Flows (D W Zingg et al.); Selected CFD Capabilities at DLR (W Kordulla); CFD Applications to Space Transportation Systems (K Fujii); Information Science OCo A New Frontier of CFD (K Oshima & Y Oshima); Integration of CFD into Aerodynamics Education (E M Murman & A Rizzi); and other papers. Readership: Researchers and graduate students in numerical and computational mathematics."

Finite Elements

Finite Elements PDF Author: D.L. Dwoyer
Publisher: Springer
ISBN: 1461237866
Category : Technology & Engineering
Languages : en
Pages : 313

Book Description
This volume covers the proceedings ofthe ICASE/LaRC workshop on "Finite Element Theory and Application" held during July 28-30, 1986. The purpose of this workshop was to provide an update on the status of finite element theory, to assess the impactoftbis theory on practice, and to suggest directions for Cuture research. There were thirteen participants in the workshop. Some of them were leading mathematicians working on the finite element theory, and the rest expert practitioners in the areas of fluid dynamics and structural analysis. The first six articles in this volume provide a brief review of the theoretical and computational aspects of finite element methods (FEM). The remaining seven articles deal with a variety of applications highlighting the type of results that are possible, and indicating areas which deserve future research. The first article is by Temam. lt provides an introduction and overview of the general finite element methods for the nonspecialist. lt also illustrates the power of finite element methods with two specific applications-the free surface flowjstructure interaction problern and the compressible Euler solu tion to the flow past a finite aspect ratio flat plate at incidence. The second article by Brezzi is againan introduction and overview ofmixed finite element methods. lt includes a brief discussion of special techniques for solving the discrete problem, as weil as some applications to certain basic problems in elasticity and hydrodynamics.

Proceedings of the Army Symposium on Solid Mechanics, 1972

Proceedings of the Army Symposium on Solid Mechanics, 1972 PDF Author:
Publisher:
ISBN:
Category : Ballistics
Languages : en
Pages : 554

Book Description


Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 658

Book Description


Advances in Computational Nonlinear Mechanics

Advances in Computational Nonlinear Mechanics PDF Author: I.S. Doltsinis
Publisher: Springer
ISBN: 3709128285
Category : Mathematics
Languages : en
Pages : 248

Book Description
Advanced computational methods in nonlinear mechanics of solids and fluids are dealt with in this volume. Contributions consider large deformations of structures and solids, problems in nonlinear dynamics, aspects of earthquake analysis, coupled problems, convection-dominated phenomena, and compressible and incompressible viscous flows. Selected applications indicate the relevance of the analysis to the demands of industry and science. The contributors are from research institutions well-known for their work in this field.