A DG HWENO scheme for hyperbolic equations
Name
56558587-MIT.pdf
Description
Full printable version
Size
2.25 MB
Format
Adobe PDF
Checksum (MD5)
859f3062621adf715d2a204bc2865282
Author(s)
Serrano, Matthieu, 1978-
Advisor(s)
Jamie Peraire.
Alternative Title
Discontinuous Galerkin Hermite Weighted Essentially Non-Oscillatory scheme for hyperbolic equations
Date Issued
2004
Publisher
Massachusetts Institute of Technology
Abstract
In an effort to build a higher order discontinuous Galerkin (DG) finite element solver for the nonlinear Euler equations of gas dynamics, we develop a shock capturing scheme for hyperbolic equations. The Hermite Weighted Essentially Non-Oscillatory (HWENO) methodology introduced by Qiu [10, 14] is used as the starting point for the proposed limiter. We present a general approach for building a limiter for Runge-Kutta time marching schemes which reconstructs the higher order moments of troubled cells using only information of neighboring cells. This technique is used to develop a limiter in 1-D for P₂ to P₅ interpolants on non-uniform grids and in 2-D for P₂ interpolants on triangular unstructured grids. Numerical results for this limiter are presented for Burgers equation.
Description
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2004.
Includes bibliographical references (p. 61-62).
Subjects
Aeronautics and Astronautics
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Terms of Use
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Persistent DSpace Link
