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http://hdl.handle.net/1942/21525
Title: | Implicit Multistage Two-Derivative Discontinuous Galerkin Schemes for Viscous Conservation Laws | Authors: | JAUST, Alexander SCHUETZ, Jochen Seal, David C. |
Issue Date: | 2016 | Source: | JOURNAL OF SCIENTIFIC COMPUTING, 69 (2), p. 866-892 | Abstract: | In this paper we apply implicit two-derivative multistage time integrators to conservation laws in one and two dimensions. The one dimensional solver discretizes space with the classical discontinuous Galerkin method, and the two dimensional solver uses a hybridized discontinuous Galerkin spatial discretization for efficiency. We propose methods that permit us to construct implicit solvers using each of these spatial discretizations, wherein a chief difficulty is how to handle the higher derivatives in time. The end result is that the multiderivative time integrator allows us to obtain high-order accuracy in time while keeping the number of implicit stages at a minimum. We show numerical results validating and comparing methods. | Notes: | Jaust, A (reprint author), Hasselt Univ, Vakgrp Wiskunde Stat, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. alexander.jaust@uhasselt.be; jochen.schuetz@uhasselt.be; seal@usna.edu | Keywords: | discontinuous Galerkin method; multiderivative time integration; convection–diffusion equation; hybridized discontinuous Galerkin method | Document URI: | http://hdl.handle.net/1942/21525 | ISSN: | 0885-7474 | e-ISSN: | 1573-7691 | DOI: | 10.1007/s10915-016-0221-x | ISI #: | 000385151700016 | Rights: | © Springer Science+Business Media New York 2016. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2017 |
Appears in Collections: | Research publications |
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art%3A10.1007%2Fs10915-016-0221-x.pdf Restricted Access | Published version | 1.16 MB | Adobe PDF | View/Open Request a copy |
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