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A Cell-Centered Lagrangian Method Based on Local Evolution Galerkin Scheme for Two-Dimensional Compressible Flows

Authors:
Ming Yu
Haibo Xu
Yutao Sun

Keywords: Lagrangian method; cell-centered scheme; local evolution Galerkin scheme; finite volume scheme

Abstract:
The paper presents a new cell-centered Lagrangian method for two-dimensional compressible flows. The main feature of the method is that the velocity and pressure at the cell vertex are computed using the local Galerkin evolution scheme for solving the linearized flow equations in terms of the bicharacteristic theory, and then the velocity and pressure are used to update the grid coordinates and evaluate the numerical flux across the cell interface. The local Galerkin evolution operator gives the solutions evolving for an infinite small time interval from the initial conditions and still can maintain the genuinely multidimensional nature of hyperbolic system.

Pages: 13 to 18

Copyright: Copyright (c) IARIA, 2015

Publication date: July 19, 2015

Published in: conference

ISSN: 2308-4499

ISBN: 978-1-61208-419-0

Location: Nice,France

Dates: from July 19, 2015 to July 24, 2015