Conservative Finite Difference Methods On General Grids
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Conservative Finite Difference Methods on General Grids
Author | : Mikhail Shashkov |
Publsiher | : CRC Press |
Total Pages | : 313 |
Release | : 2018-02-06 |
Genre | : Mathematics |
ISBN | : 9781351458290 |
Download Conservative Finite Difference Methods on General Grids Book in PDF, Epub and Kindle
This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.
Conservative Finite Difference Methods on General Grids
Author | : Mikhail Shashkov |
Publsiher | : CRC Press |
Total Pages | : 384 |
Release | : 2018-02-06 |
Genre | : Mathematics |
ISBN | : 9781351458306 |
Download Conservative Finite Difference Methods on General Grids Book in PDF, Epub and Kindle
This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.
Numerical Techniques for Global Atmospheric Models
Author | : Peter H. Lauritzen,Christiane Jablonowski,Mark A. Taylor,Ramachandran D. Nair |
Publsiher | : Springer Science & Business Media |
Total Pages | : 570 |
Release | : 2011-03-29 |
Genre | : Mathematics |
ISBN | : 9783642116407 |
Download Numerical Techniques for Global Atmospheric Models Book in PDF, Epub and Kindle
This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.
Moving Finite Element Method
Author | : Maria do Carmo Coimbra,Alirio Egidio Rodrigues,Jaime Duarte Rodrigues,Rui Jorge Mendes Robalo,Rui Manuel Pires Almeida |
Publsiher | : CRC Press |
Total Pages | : 276 |
Release | : 2016-11-30 |
Genre | : Mathematics |
ISBN | : 9781498723886 |
Download Moving Finite Element Method Book in PDF, Epub and Kindle
This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.
The Finite Difference Modelling of Earthquake Motions
Author | : Peter Moczo,Jozef Kristek,Martin Gális |
Publsiher | : Cambridge University Press |
Total Pages | : 387 |
Release | : 2014-04-24 |
Genre | : Mathematics |
ISBN | : 9781107028814 |
Download The Finite Difference Modelling of Earthquake Motions Book in PDF, Epub and Kindle
A systematic tutorial introduction to the finite-difference (FD) numerical modelling technique for professionals, academic researchers, and graduate students in seismology.
Compatible Spatial Discretizations
Author | : Douglas N. Arnold,Pavel B. Bochev,Richard B. Lehoucq,Roy A. Nicolaides,Mikhail Shashkov |
Publsiher | : Springer Science & Business Media |
Total Pages | : 247 |
Release | : 2007-01-26 |
Genre | : Mathematics |
ISBN | : 9780387380346 |
Download Compatible Spatial Discretizations Book in PDF, Epub and Kindle
The IMA Hot Topics workshop on compatible spatialdiscretizations was held in 2004. This volume contains original contributions based on the material presented there. A unique feature is the inclusion of work that is representative of the recent developments in compatible discretizations across a wide spectrum of disciplines in computational science. Abstracts and presentation slides from the workshop can be accessed on the internet.
Applications of Fluid Dynamics
Author | : M.K. Singh,B.S. Kushvah,G.S. Seth,J. Prakash |
Publsiher | : Springer |
Total Pages | : 692 |
Release | : 2017-11-04 |
Genre | : Technology & Engineering |
ISBN | : 9789811053290 |
Download Applications of Fluid Dynamics Book in PDF, Epub and Kindle
The book presents high-quality papers presented at 3rd International Conference on Applications of Fluid Dynamics (ICAFD 2016) organized by Department of Applied Mathematics, ISM Dhanbad, Jharkhand, India in association with Fluid Mechanics Group, University of Botswana, Botswana. The main theme of the Conference is "Sustainable Development in Africa and Asia in context of Fluid Dynamics and Modeling Approaches". The book is divided into seven sections covering all applications of fluid dynamics and their allied areas such as fluid dynamics, nanofluid, heat and mass transfer, numerical simulations and investigations of fluid dynamics, magnetohydrodynamics flow, solute transport modeling and water jet, and miscellaneous. The book is a good reference material for scientists and professionals working in the field of fluid dynamics.
Finite Difference Methods on Irregular Networks
Author | : Bernd Heinrich |
Publsiher | : Birkhauser |
Total Pages | : 216 |
Release | : 1987 |
Genre | : Boundary value problems |
ISBN | : UCAL:B4406809 |
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