Author | Meister, Andreas. author |
---|---|
Title | Hyperbolic Partial Differential Equations [electronic resource] : Theory, Numerics and Applications / by Andreas Meister, Jens Struckmeier |
Imprint | Wiesbaden : Vieweg+Teubner Verlag, 2002 |
Connect to | http://dx.doi.org/10.1007/978-3-322-80227-9 |
Descript | XII, 320 p. online resource |
1 Hyperbolic Conservation Laws and Industrial Applications -- 1.1 Transport theorem and balance laws -- 1.2 Linear initial and boundary value problems -- 1.3 Weak solutions and entropy -- 1.4 Systems of conservation laws -- 2 Central Schemes and Systems of Balance Laws -- 2.1 Second order central schemes -- 2.2 High order central schemes -- 2.3 Multidimensional central schemes -- 2.4 Treatment of the source -- Further developments -- 3 Methods on unstructured grids, WENO and ENO Recovery techniques -- 3.1 Introduction to finite volume approximations -- 3.2 Governing equations -- 3.3 Finite volume approximations -- 3.4 Time stepping schemes -- 3.5 Remarks on the philosophy of ENO schemes -- 3.6 Polynomial recovery -- 3.7 WENO approximations -- 3.8 The theory of optimal recovery -- 3.9 Grid adaptivity for box methods -- 3.10 Error and residual -- 3.11 Experience with L2 -- 3.12 The dual graph-norm -- 3.13 Closing of the circle: L2 meets dual graph norm -- 4 Pressure-Correction Methods for all Flow Speeds -- 4.1 Introduction -- 4.2 Conservation Equations -- 4.3 Pressure-Correction Equation for Incompressible Flows -- 4.4 Pressure-Correction Equation for Compressible Flows -- 4.5 Solution Algorithm for all Flow Speeds -- 4.6 FV-Method for Arbitrary Control Volumes -- 4.7 Pressure-Correction Algorithm for FV-Methods -- 4.8 Implementation of Boundary Conditions -- 4.9 Examples of Application -- 4.10 Conclusions -- 5 Computational Fluid Dynamics and Aeroacoustics for Low Mach Number Flow -- 5.1 Introduction -- 5.2 Non-Dimensionalisation of the Governing Equations -- 5.3 The Incompressible Limit of a Compressible Fluid Flow -- 5.4 Numerical Methods for Low Mach Number Fluid Flow -- 5.5 Sound Generation and Sound Propagation -- 5.6 Multiple Scale Considerations -- 5.7 Numerical Aeroacoustics -- 5.8 Conclusions