Entwicklung effizienter numerischer Verfahren beliebiger Ordnung in Raum und Zeit zur Lösung von Erhaltungsgleichungen mit Reibungseinflüssen auf unstrukturierten Gittern

• Applicant: Professor Dr.-Ing. Michael Dumbser
• Subject Area: Fluid Mechanics
• Term: from 2006 to 2009
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 27398318

• Final Report Year: 2009

Final Report Abstract

No abstract available

Publications

• A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes, Journal of Computational Physics, vol. 226, pp. 586-620, 2007
  D. Balsara, C. Altmann, C.D. Munz, M. Dumbser
  
• An Arbitrary High Order Discontinuous Galerkin Method for Elastic Waves on Unstructured Meshes V: Local Time Stepping and p-Adaptivity, Geophysical Journal International, vol. 171, pp. 695-717, 2007
  M. Dumbser, M. Käser and E. F. Toro
  
• Arbitrary High Order Finite Volume Schemes for Seismic Wave Propagation on Unstructured Meshes in 2D and 3D, Geophysical Journal International, vol. 171, pp. 665-694, 2007
  M. Dumbser, M. Käser and J. de la Puente
  
• Arbitrary High Order Non-Oscillatory Finite Volume Schemes on Unstructured Meshes for Linear Hyperbolic Systems, Journal of Computational Physics, vol. 221, pp. 693- 723, 2007
  M. Dumbser and M. Käser
  
• Quadrature-Free Non-Oscillatory Finite Volume Schemes on Unstructured Meshes for Nonlinear Hyperbolic Systems, Journal of Computational Physics, vol. 226, pp. 204-243, 2007
  M. Dumbser, M. Käser, V. A. Titarev and E. F. Toro
  
• A Highly Accurate Discontinuous Galerkin Method for Complex Interfaces between Solids and Moving Fluids, Geophysics, vol. 73, pp. 23-35, 2008
  M. Käser and M. Dumbser
  
• A Unified Framework for the Construction of One-Step Finite-Volume and Discontinuous Galerkin Schemes on Unstructured Meshes, Journal of Computational Physics, vol. 227, pp. 8209–8253, 2008
  M. Dumbser, D.S. Balsara, E.F. Toro and C.D. Munz
  
• Discontinuous Galerkin Methods for Wave Propagation in Poroelastic Media. Geophysics, vol. 73, pp. T77-T97, 2008
  J. de la Puente, M. Dumbser, M. Käser, H. Igel
  
• Finite Volume Schemes of Very High Order of Accuracy for Stiff Hyperbolic Balance Laws, Journal of Computational Physics, vol. 227, pp. 3971–4001, 2008
  M. Dumbser, C. Enaux and E. F. Toro
  
• Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters II: Unstructured Meshes. Journal of Computational Physics, vol. 227, pp. 4330–4353, 2008
  J. Zhu, J. Qiu, C.W. Shu, M. Dumbser
  
• A High Order Discontinuous Galerkin Method with Local Time Stepping for the Maxwell Equations, International Journal Of Numerical Modelling: Electronic Networks, Devices And Fields, vol. 22, pp. 77-103, 2009
  A. Taube, M. Dumbser, C.D. Munz, R. Schneider
  
• Efficient, High Accuracy ADER-WENO Schemes for Hydrodynamics and Divergence-Free Magnetohydrodynamics. Journal of Computational Physics, vol. 228, pp. 2480-2516, 2009
  D.S. Balsara, T. Rumpf, M. Dumbser and C.D. Munz