Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Multidimensional Explicit Difference Schemes for Hyperbolic Conservation Laws
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Multidimensional Explicit Difference Schemes for Hyperbolic Conservation Laws
Author: Bram van LeerSecond- and Third-order Upwind Difference Schemes for Hyperbolic Conservation Laws
Author: Numerical Approximation of Hyperbolic Systems of Conservation Laws
Author: Edwige GodlewskiPublisher: Springer Nature
ISBN: 1071613448
Category : Mathematics
Languages : en
Pages : 846
Book Description
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
Nonlinear Hyperbolic Problems
Author: Claude CarassoPublisher: Springer
ISBN: 3540478051
Category : Mathematics
Languages : en
Pages : 356
Book Description
The field of nonlinear hyperbolic problems has been expanding very fast over the past few years, and has applications - actual and potential - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonlinear hyperbolic systems than with numerical methods. The volume provides an excellent up-to-date review of the current research trends in this area.
Hyperbolic Problems: Theory, Numerics, Applications. Volume I
Author: Carlos ParésPublisher: Springer Nature
ISBN: 3031552601
Category :
Languages : en
Pages : 376
Book Description
A New Time-space Accurate Scheme for Hyperbolic Problems I: Quasi-explicit Case
Author: David SidilkoverSemi-implicit and Fully Implicit Shock-capturing Methods for Hyperbolic Conservation Laws with Stiff Source Terms
Author: Shallow Water Hydrodynamics
Author: W.Y. TanPublisher: Elsevier
ISBN: 0080870937
Category : Science
Languages : en
Pages : 449
Book Description
Within this monograph a comprehensive and systematic knowledge on shallow-water hydrodynamics is presented. A two-dimensional system of shallow-water equations is analyzed, including the mathematical and mechanical backgrounds, the properties of the system and its solution. Also featured is a new mathematical simulation of shallow-water flows by compressible plane flows of a special virtual perfect gas, as well as practical algorithms such as FDM, FEM, and FVM. Some of these algorithms have been utilized in solving the system, while others have been utilized in various applied fields. An emphasis has been placed on several classes of high-performance difference schemes and boundary procedures which have found wide uses recently for solving the Euler equations of gas dynamics in aeronautical and aerospatial engineering. This book is constructed so that it may serve as a handbook for practicians. It will be of interest to scientists, designers, teachers, postgraduates and professionals in hydraulic, marine, and environmental engineering; especially those involved in the mathematical modelling of shallow-water bodies.
Author: