An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces

authored by
Zhuochao Tang, Zhuojia Fu, Meng Chen, Jingfang Huang
Abstract

This paper presents an efficient collocation method which combines the generalized finite difference method (GFDM) with the Krylov deferred correction (KDC) method for the long-time simulation of heat and mass transport on evolving surfaces. The KDC method utilizes a pseudo-spectral-type temporal collocation formulation to discretize the time-dependent surface heat and mass transport equation in each time marching step, where the time derivatives at the collocation points are introduced as the new unknown variables. A low-order time marching scheme is then applied as an effective preconditioner in the Jacobian-Free Newton-Krylov framework to decouple the spatial surface PDEs at different collocation nodes. Each decoupled surface PDE is then solved by the meshless GFDM, where both the continuous-form evolving surfaces defined by parametric equations and discretized-form evolving surfaces composed of point clouds are considered in the GFDM spatial discretization. Numerical experiments show that the combined GFDM-KDC solver is a promising numerical scheme for long-time evolution simulation of heat and mass transport on intractable evolving surfaces.

Organisation(s)
Institute of Continuum Mechanics
External Organisation(s)
Hohai University
Nanjing University of Aeronautics and Astronautics
Nanchang University
University of North Carolina
Type
Article
Journal
Journal of computational physics
Volume
463
ISSN
0021-9991
Publication date
15.08.2022
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Numerical Analysis, Modelling and Simulation, Physics and Astronomy (miscellaneous), Physics and Astronomy(all), Computer Science Applications, Computational Mathematics, Applied Mathematics
Electronic version(s)
https://doi.org/10.1016/j.jcp.2022.111310 (Access: Closed)
 

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