On Central Difference And Upwind Schemes PDF Download
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Author | : M.Yousuff Hussaini |
Publisher | : Springer Science & Business Media |
Total Pages | : 587 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642605435 |
Download Upwind and High-Resolution Schemes Book in PDF, ePub and Kindle
One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 48 |
Release | : 1990 |
Genre | : |
ISBN | : |
Download On Central-difference and Upwind Schemes Book in PDF, ePub and Kindle
Author | : Wolfgang Hackbusch |
Publisher | : Vieweg+teubner Verlag |
Total Pages | : 184 |
Release | : 1990 |
Genre | : Science |
ISBN | : |
Download Numerical Treatment of the Navier-Stokes Equations Book in PDF, ePub and Kindle
The most frequently used method for the numerical integration of parabolic differential equa tions is the method of lines, where one first uses a discretization of space derivatives by finite differences or finite elements and then uses some time-stepping method for the the solution of resulting system of ordinary differential equations. Such methods are, at least conceptually, easy to perform. However, they can be expensive if steep gradients occur in the solution, stability must be controlled, and the global error control can be troublesome. This paper considers a simultaneaus discretization of space and time variables for a one-dimensional parabolic equation on a relatively long time interval, called 'time-slab'. The discretization is repeated or adjusted for following 'time-slabs' using continuous finite element approximations. In such a method we utilize the efficiency of finite elements by choosing a finite element mesh in the time-space domain where the finite element mesh has been adjusted to steep gradients of the solution both with respect to the space and the time variables. In this way we solve all the difficulties with the classical approach since stability, discretization error estimates and global error control are automatically satisfied. Such a method has been discussed previously in [3] and [4]. The related boundary value techniques or global time integration for systems of ordinary differential equations have been discussed in several papers, see [12] and the references quoted therein.
Author | : Suhas Patankar |
Publisher | : CRC Press |
Total Pages | : 218 |
Release | : 2018-10-08 |
Genre | : Science |
ISBN | : 1351991515 |
Download Numerical Heat Transfer and Fluid Flow Book in PDF, ePub and Kindle
This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 20 |
Release | : 1988 |
Genre | : |
ISBN | : |
Download Improving the Accuracy of Central Difference Schemes Book in PDF, ePub and Kindle
Author | : Stuart E. Rogers |
Publisher | : |
Total Pages | : 36 |
Release | : 1988 |
Genre | : |
ISBN | : |
Download An Upwind-differencing Scheme for the Incompressible Navier-Stokes Equations Book in PDF, ePub and Kindle
Author | : National Aeronautics and Space Administration (NASA) |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 32 |
Release | : 2018-06-30 |
Genre | : |
ISBN | : 9781722110017 |
Download Comparison of Several Dissipation Algorithms for Central Difference Schemes Book in PDF, ePub and Kindle
Several algorithms for introducing artificial dissipation into a central difference approximation to the Euler and Navier Stokes equations are considered. The focus of the paper is on the convective upwind and split pressure (CUSP) scheme, which is designed to support single interior point discrete shock waves. This scheme is analyzed and compared in detail with scalar and matrix dissipation (MATD) schemes. Resolution capability is determined by solving subsonic, transonic, and hypersonic flow problems. A finite-volume discretization and a multistage time-stepping scheme with multigrid are used to compute solutions to the flow equations. Numerical results are also compared with either theoretical solutions or experimental data. For transonic airfoil flows the best accuracy on coarse meshes for aerodynamic coefficients is obtained with a simple MATD scheme. Swanson, R. C. and Radespiel, R. and Turkel, E. Langley Research Center NAS1-19480; RTOP 505-90-52-01...
Author | : Hans Petter Langtangen |
Publisher | : Springer |
Total Pages | : 522 |
Release | : 2017-06-21 |
Genre | : Computers |
ISBN | : 3319554565 |
Download Finite Difference Computing with PDEs Book in PDF, ePub and Kindle
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
Author | : |
Publisher | : |
Total Pages | : 16 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download On Symmetric and Upwind TVD Schemes Book in PDF, ePub and Kindle
Author | : H. C. Yee |
Publisher | : |
Total Pages | : 136 |
Release | : 1987 |
Genre | : Finite differences |
ISBN | : |
Download Upwind and Symmetric Shock-capturing Schemes Book in PDF, ePub and Kindle