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Journal of Scientific Computing
Published in: Journal of Scientific Computing 1/2018

12-04-2018

High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler Equation and the Guiding-Center Vlasov Equation

Authors: Tao Xiong, Giovanni Russo, Jing-Mei Qiu

Published in: Journal of Scientific Computing | Issue 1/2018

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Abstract

In this paper, we propose a high order characteristics tracing scheme for the two-dimensional nonlinear incompressible Euler system in vorticity stream function formulation and the guiding center Vlasov model. Such a scheme is incorporated into a semi-Lagrangian finite difference WENO framework for simulating the aforementioned model equations. This is an extension of our earlier work on high order characteristics tracing scheme for the 1D nonlinear Vlasov–Poisson system (Qiu and Russo in J Sci Comput 71:414–434, 2017). The effectiveness of the proposed scheme is demonstrated numerically by an extensive set of test cases.
previous article Stability and Convergence Analysis of a Class of Continuous Piecewise Polynomial Approximations for Time-Fractional Differential Equations
next article A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators

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Metadata
Title
High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler Equation and the Guiding-Center Vlasov Equation
Authors
Tao Xiong
Giovanni Russo
Jing-Mei Qiu
Publication date
12-04-2018
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 1/2018
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-018-0705-y

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