COMBINING A LEAST-SQUARES APPROXIMATE JACOBIAN WITH AN ANALYTICAL MODEL TO COUPLE A FLOW SOLVER WITH FREE SURFACE POSITION UPDATES

被引：0

作者：

Demeester, Toon ^{[1
]}

van Brummelen, E. Harald ^{[2
]}

Degroote, Joris ^{[1
,3
]}

机构：

[1] Univ Ghent, Dept Flow Heat & Combust Mech, Sint Pietersnieuwstr 41, B-9000 Ghent, Belgium

[2] Eindhoven Univ Technol, Dept Multiscale Engn Fluid Dynam, POB 513, NL-5600 MB Eindhoven, Netherlands

[3] Flanders Make, Lommel, Belgium

来源：

VIII INTERNATIONAL CONFERENCE ON COMPUTATIONAL METHODS FOR COUPLED PROBLEMS IN SCIENCE AND ENGINEERING (COUPLED PROBLEMS 2019) | 2019年

关键词：

Free Surface Flow; Quasi-Newton; Fitting Method; Surrogate Model;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a new quasi-Newton method suitable for systems that can be solved with a black-box solver for which a cheap surrogate model is available. In order to have fast convergence, the approximate Jacobian consists of two different contribution: a full rank surrogate model of the system is combined with a low rank least-squares model based on known input-output pairs of the system. It is then shown how this method can be used to solve 2D steady free surface flows with a black-box flow solver. The inviscid flow over a ramp is calculated for supercritical and subcritical conditions. For both simulations the quasi-Newton iterations converge exponentially and the results match the analytical predictions accurately.

引用

页码：360 / 368

页数：9