@Article{NMTMA-13-4,
author = {Tiegang, Liu and Wang, Jufang and Zheng, Wang and Tiegang, Liu},
title = {Solution Remapping Technique to Accelerate Flow Convergence for Finite Volume Methods Applied to Shape Optimization Design},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2020},
volume = {13},
number = {4},
pages = {863--880},
abstract = {<p style="text-align: justify;">A solution remapping technique is applied to transonic airfoil optimization design to provide a fast flow steady state convergence of intermediate shapes
for the finite volume schemes in solving the compressible Euler equations. Specifically, once the flow solution for the current shape is obtained, the flow state for
the next shape is initialized by remapping the current solution with consideration of
mesh deformation. Based on this strategy, the formula of deploying the initial value
for the next shape is theoretically derived under the assumption of small mesh deformation. Numerical experiments show that the present technique of initial value
deployment can attractively accelerate flow convergence of intermediate shapes and
reduce computational time up to 70% in the optimization process.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2019-0164},
url = {https://global-sci.com/article/90371/solution-remapping-technique-to-accelerate-flow-convergence-for-finite-volume-methods-applied-to-shape-optimization-design}
}