Author: Birgit Gottschlich-MüllerPublisher:
ISBN: 9783826540554
Category :
Languages : en
Pages : 195
Book Description
Multiscale Schemes for Multidimensional Conservation Laws
Author: Birgit Gottschlich-MüllerPublisher:
ISBN: 9783826540554
Category :
Languages : en
Pages : 195
Book Description
Adaptive Multiscale Schemes for Conservation Laws
Author: Siegfried MüllerPublisher: Springer Science & Business Media
ISBN: 9783540443254
Category : Mathematics
Languages : en
Pages : 214
Book Description
During the last decade enormous progress has been achieved in the field of computational fluid dynamics. This became possible by the development of robust and high-order accurate numerical algorithms as well as the construc tion of enhanced computer hardware, e. g. , parallel and vector architectures, workstation clusters. All these improvements allow the numerical simulation of real world problems arising for instance in automotive and aviation indus try. Nowadays numerical simulations may be considered as an indispensable tool in the design of engineering devices complementing or avoiding expen sive experiments. In order to obtain qualitatively as well as quantitatively reliable results the complexity of the applications continuously increases due to the demand of resolving more details of the real world configuration as well as taking better physical models into account, e. g. , turbulence, real gas or aeroelasticity. Although the speed and memory of computer hardware are currently doubled approximately every 18 months according to Moore's law, this will not be sufficient to cope with the increasing complexity required by uniform discretizations. The future task will be to optimize the utilization of the available re sources. Therefore new numerical algorithms have to be developed with a computational complexity that can be termed nearly optimal in the sense that storage and computational expense remain proportional to the "inher ent complexity" (a term that will be made clearer later) problem. This leads to adaptive concepts which correspond in a natural way to unstructured grids.
Adaptive Multiscale Schemes for Conservation Laws
Author: Siegfried MüllerPublisher: Springer Science & Business Media
ISBN: 3642181643
Category : Mathematics
Languages : en
Pages : 194
Book Description
During the last decade enormous progress has been achieved in the field of computational fluid dynamics. This became possible by the development of robust and high-order accurate numerical algorithms as well as the construc tion of enhanced computer hardware, e. g. , parallel and vector architectures, workstation clusters. All these improvements allow the numerical simulation of real world problems arising for instance in automotive and aviation indus try. Nowadays numerical simulations may be considered as an indispensable tool in the design of engineering devices complementing or avoiding expen sive experiments. In order to obtain qualitatively as well as quantitatively reliable results the complexity of the applications continuously increases due to the demand of resolving more details of the real world configuration as well as taking better physical models into account, e. g. , turbulence, real gas or aeroelasticity. Although the speed and memory of computer hardware are currently doubled approximately every 18 months according to Moore's law, this will not be sufficient to cope with the increasing complexity required by uniform discretizations. The future task will be to optimize the utilization of the available re sources. Therefore new numerical algorithms have to be developed with a computational complexity that can be termed nearly optimal in the sense that storage and computational expense remain proportional to the "inher ent complexity" (a term that will be made clearer later) problem. This leads to adaptive concepts which correspond in a natural way to unstructured grids.
On the Stability of Fully Adaptive Multiscale Schemes for Conservation Laws Using Approximate Flux and Source Reconstruction Strategies
Author: Nune HovhannisyanMultidimensional Explicit Difference Schemes for Hyperbolic Conservation Laws
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws
Author: Nils GerhardGenuinely Multi-dimensional Finite Volume Schemes for Systems of Conservation Laws
Author: Jitka SaibertováPublisher:
ISBN: 9788021426054
Category :
Languages : cs
Pages : 27
Book Description
On Multi-scale Concepts for Multi-dimensional Conservation Laws
Author: Birgit Gottschlich-MüllerPublisher:
ISBN:
Category :
Languages : en
Pages : 15
Book Description
Hyperbolic Problems: Theory, Numerics, Applications
Author: Rolf JeltschPublisher: Birkhäuser
ISBN: 3034887205
Category : Mathematics
Languages : en
Pages : 503
Book Description
Author: Guang-Shan Jiang