3 edition of **An HP-adaptive discontinuous Galerkin method for hyperbolic conservation laws** found in the catalog.

An HP-adaptive discontinuous Galerkin method for hyperbolic conservation laws

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- 5 Currently reading

Published
**1994**
by The University of Texas at Austin ; [Washington, DC, National Aeronautics and Space Administration, National Technical Information Service, distributor in [Austin, Texas], Springfield, Va
.

Written in

- Galerkin methods.,
- Topology.

**Edition Notes**

Statement | by Kim S. Bey, B.S., M.S. |

Series | [NASA technical memorandum] -- NASA-TM-109848., NASA technical memorandum -- 109848. |

Contributions | United States. National Aeronautics and Space Administration. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15398896M |

Discontinuous Galerkin hp-adaptive methods for multiscale chemical reactors: quiescent reactors C.E. Michoski y X Institute for Computational Engineering and Sciences, Department of Chemistry and Biochemistry, This is the ﬁrst discontinuous Galerkin application method of its type to be. x2 Derivingthesystem 3. Aims We want a discontinuous Galerkin (DG) method such that: 1 The number of DOFs is independent of how complicated is the domain 2 A method easy to extend to high-orders. 3 A method such that all adaptive techniques we already use are easy to use with 4 Any new DOF inserted by adaptivity is useful to improve the accuracy and not wasted to describe the domain 5 A preconditioner working on a.

The main motivation for using discontinuous Galerkin (DG) methods for the nu-merical approximation of the above problem is that these methods, being based on discontinuous nite element spaces, can easily handle meshes with hanging nodes, elements of general . We present a novel hp-adaptive numerical scheme for curvilinear and non-conforming meshes. It uses a multigrid preconditioner with a Chebyshev or Schwarz smoother to create a very scalable discontinuous Galerkin code on generic domains. The code employs compactification to Cited by: 1.

A discontinuous Galerkin model solving the shallow-water equations on the sphere is presented. It captures the dynamically varying key aspects of the flows by having the advantageous ability to locally modify the mesh as well as the order of interpolation within each element. A dynamic hp-adaptive discontinuous Galerkin method for shallow Cited by: Discontinuous Galerkin methods for solving a hyperbolic inequality Fei Wang1 Weimin Han2 1School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China 2Department of Mathematics & Program in Applied Mathematical and Computational Sciences, University of Iowa, Iowa City, Iowa, USA Correspondence.

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Johnson and J. Pitkaranta, An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation, Math. Comp. 46 () K.S. Bey et al.

/ Applied Numerical Mathematics 20 () [3] B. Cockburn, S. Hou and C.W. Shu, The Runge-Kutta local projection discontinuous Galerkin method for conservation laws IV: the Cited by: A Parallel hp-Adaptive Discontinuous Galerkin Method for Hyperbolic Conservation Laws Kim S.

Bey NASA Langley Research Center Hampton, VA J. Tinsley Oden and Abani Patra The Texas Institute for Computational and Applied Mathematics University of Texas at Austin Austin, TX November Abstract.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This paper describes a parallel algorithm based on discontinuous hp-finite element approximations of linear, scalar, hyperbolic conservation laws.

The paper focuses on the development of an effective parallel adaptive strategy for such problems. Numerical experiments suggest that these techniques are highly. @MISC{Bey94anhp-adaptive, author = {Kim S. Bey}, title = {An hp-Adaptive Discontinuous Galerkin Method For Hyperbolic Conservation Laws}, year = {}} Share OpenURL.

The full text of this article hosted at is unavailable due to technical by: Get this from a library. An HP-adaptive discontinuous Galerkin method for hyperbolic conservation laws.

[Kim S Bey; United States. National Aeronautics and Space Administration.]. () Approximate Lax–Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. Computers & Mathematics with Applications() Simulation of tsunamis generated by landslides using adaptive mesh refinement on by: Convergence of the discontinuous Galerkin finite element method for hyperbolic conservation laws.

Math. Models Methods Appl. Sci., 5(3)–, zbMATH CrossRef MathSciNet Google ScholarCited by: 9. The discontinuous Galerkin (DG) method is a robust and compact finite element projection method that provides a practical framework for the development of high-order accurate methods using unstructured grids.

The method is well suited for large-scale time-dependent computations in which. () Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. Journal of Computational Physics() High-order detached-eddy simulation of external aerodynamics over an SAE notchback by: An hp-Adaptive discontinuous Galerkin method for Hyperbolic Conservation Laws.

PhD dissertation, The University of Texas at Austin, May PhD dissertation, The University of Texas at Austin, May Cited by: A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.

To discretize the latter system of conservation laws, we exploit the (adjoint consistent) symmetric version of the interior penalty discontinuous Galerkin finite element method.

An hp-adaptive discontinuous Galerkin method for modelling snap loads in mooring cables Johannes Palm*, ), and shock waves in hyperbolic conservation laws is a well studied topic. The theorems of Lax and Wendroff (), and of Hou and Le Floch state that any converging We present a high-order discontinuous Galerkin (DG) method forCited by: Martin Fuhry, Andrew Giuliani and Lilia Krivodonova, Discontinuous Galerkin methods on graphics processing units for nonlinear hyperbolic conservation laws, International Journal for Numerical Methods in Fluids, 76, 12, (), ().

A dynamic hp-adaptive discontinuous Galerkin method for shallow water ﬂows on the sphere with application to a global tsunami simulation. Accepted for publication in Monthly Weather Review on Septembre 8, S´ebastien Blaise ∗ Institute for Mathematics Applied to Geosciences National Center for Atmospheric Research, Boulder, CO.

A Dynamic hp-Adaptive Discontinuous Galerkin Method for Shallow-Water Flows on the Sphere with the model described herein is a generic high-order hp-capable model for the simulation of various conservation laws. It is flexible enough to test innovative numerical techniques while relying on efficient computational kernel implementations with Cited by: A Dynamic hp-Adaptive Discontinuous Galerkin Method for Shallow-Water Flows on the Sphere with Application to a Global Tsunami Simulation SE´ BASTIEN BLAISE* AND AMIK ST-CYR1 Institute for Mathematics Applied to Geosciences, National Center for Atmospheric Research,# Boulder, Colorado (Manuscript received 14 Februaryin ﬁnal form 8 September ).

@article{osti_, title = {CosmosDG: An hp -adaptive Discontinuous Galerkin Code for Hyper-resolved Relativistic MHD}, author = {Anninos, Peter and Lau, Cheuk and Bryant, Colton and Fragile, P. Chris and Holgado, A. Miguel and Nemergut, Daniel}, abstractNote = {We have extended Cosmos++, a multidimensional unstructured adaptive mesh code for solving the covariant Newtonian and general Cited by: 7.

ANISOTROPIC hp–ADAPTIVE DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS FOR COMPRESSIBLE FLUID FLOWS STEFANO GIANI AND PAUL HOUSTON system of conservation laws, we exploit the (adjoint consistent) symmetric version of the interior for hyperbolic/nearly–hyperbolic equations such esti.

A Survey of hp-Adaptive Strategies for Elliptic Partial Differential An hp adaptive discontinuous Galerkin method for hyperbolic conservation laws. Ph.D. thesis, University of Texas at A Survey of hp-Adaptive Strategies for Elliptic Partial Differential Equations.

In: Simos T. (eds) Recent Advances in Computational and Applied Cited by: Explicit higher order methods for systems of nonlinear hyperbolic conservation laws computed using an adaptive second order Runge-Kutta discontinuous Galerkin method.

hp-adaptive discontinuous finite element spaces and their implementation in Dune and Dune-Fem.High–Order hp–Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows Stefano Giani and Paul Houston Abstract This article is concerned with the construction of general isotropic and anisotropic adaptive strategies, as well as hp–mesh reﬁnement techniques, in com.