Ebook: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws: Lectures Presented at a Workshop at the Mathematical Research Institute Oberwolfach, Germany, Jan 15 – 21, 2012
- Tags: Engineering general, Numerical Analysis, Partial Differential Equations, Math Applications in Computer Science
- Series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design 120
- Year: 2013
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
In January 2012 an Oberwolfach workshop took place on the topic of recent
developments in the numerics of partial differential equations. Focus was laid
on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.
In January 2012 an Oberwolfach workshop took place on the topic of recent
developments in the numerics of partial differential equations. Focus was laid
on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.
In January 2012 an Oberwolfach workshop took place on the topic of recent
developments in the numerics of partial differential equations. Focus was laid
on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.
Content:
Front Matter....Pages 1-12
A Second Order Accurate Kinetic Relaxation Scheme for Inviscid Compressible Flows....Pages 1-24
On One-Dimensional Low Mach Number Applications....Pages 25-39
High Order and Underresolution....Pages 41-55
Solving Nonlinear Systems Inside Implicit Time Integration Schemes for Unsteady Viscous Flows....Pages 57-71
Discrete Flux-Corrected Transport: Numerical Analysis, Tensor-Valued Extension and Application in Image Processing....Pages 73-87
Quantification of Numerical and Physical Mixing in Coastal Ocean Model Applications....Pages 89-103
Dealing with Parasitic Behaviour in G-Symplectic Integrators....Pages 105-123
An Adaptive Artificial Viscosity Method for the Saint-Venant System....Pages 125-141
Discontinuous Galerkin Method – A Robust Solver for Compressible Flow....Pages 143-160
A Rigorous Application of the Method of Vertical Lines to Coupled Systems in Finite Element Analysis....Pages 161-175
Monotonicity Conditions for Multirate and Partitioned Explicit Runge-Kutta Schemes....Pages 177-195
On the Construction of Kernel-Based Adaptive Particle Methods in Numerical Flow Simulation....Pages 197-221
An Assessment of the Efficiency of Nodal Discontinuous Galerkin Spectral Element Methods....Pages 223-235
Sub-cycling Strategies for Maritime Two-Phase Flow Simulations....Pages 237-251
The DG Scheme on Triangular Grids with Adaptive Modal and Variational Filtering Routines Applied to Shallow Water Flows....Pages 253-266
Enhanced Accuracy for Finite-Volume and Discontinuous Galerkin Schemes via Non-intrusive Corrections....Pages 267-282
Linear and Nonlinear Boundary Conditions for Wave Propagation Problems....Pages 283-299
A New Stiffly Accurate Rosenbrock-Wanner Method for Solving the Incompressible Navier-Stokes Equations....Pages 301-315
On the Spectral Difference Method with Modal Filtering Applied to the Euler Equations....Pages 317-325
Back Matter....Pages 0--1
In January 2012 an Oberwolfach workshop took place on the topic of recent
developments in the numerics of partial differential equations. Focus was laid
on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.
Content:
Front Matter....Pages 1-12
A Second Order Accurate Kinetic Relaxation Scheme for Inviscid Compressible Flows....Pages 1-24
On One-Dimensional Low Mach Number Applications....Pages 25-39
High Order and Underresolution....Pages 41-55
Solving Nonlinear Systems Inside Implicit Time Integration Schemes for Unsteady Viscous Flows....Pages 57-71
Discrete Flux-Corrected Transport: Numerical Analysis, Tensor-Valued Extension and Application in Image Processing....Pages 73-87
Quantification of Numerical and Physical Mixing in Coastal Ocean Model Applications....Pages 89-103
Dealing with Parasitic Behaviour in G-Symplectic Integrators....Pages 105-123
An Adaptive Artificial Viscosity Method for the Saint-Venant System....Pages 125-141
Discontinuous Galerkin Method – A Robust Solver for Compressible Flow....Pages 143-160
A Rigorous Application of the Method of Vertical Lines to Coupled Systems in Finite Element Analysis....Pages 161-175
Monotonicity Conditions for Multirate and Partitioned Explicit Runge-Kutta Schemes....Pages 177-195
On the Construction of Kernel-Based Adaptive Particle Methods in Numerical Flow Simulation....Pages 197-221
An Assessment of the Efficiency of Nodal Discontinuous Galerkin Spectral Element Methods....Pages 223-235
Sub-cycling Strategies for Maritime Two-Phase Flow Simulations....Pages 237-251
The DG Scheme on Triangular Grids with Adaptive Modal and Variational Filtering Routines Applied to Shallow Water Flows....Pages 253-266
Enhanced Accuracy for Finite-Volume and Discontinuous Galerkin Schemes via Non-intrusive Corrections....Pages 267-282
Linear and Nonlinear Boundary Conditions for Wave Propagation Problems....Pages 283-299
A New Stiffly Accurate Rosenbrock-Wanner Method for Solving the Incompressible Navier-Stokes Equations....Pages 301-315
On the Spectral Difference Method with Modal Filtering Applied to the Euler Equations....Pages 317-325
Back Matter....Pages 0--1
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