Flow Calculations on Moving and Sliding Grids

在移動及滑動網格上之流體計算

許文翰(Tony W. H. Sheu) ； 方昭清(C. C. Fang) ； 王識貴(S. K. Wang) ； 陳彥豪(Y. H. Chen)

《中國航空太空學會學刊》 30卷4期 (1998/12) Pp. 309-319

https://doi.org/10.6124/TAASRC.199812_30(4).08

摘要

本文考慮數個隨時間物理域可改變的流體力學問題。所分析的方程式爲不可壓縮之Navier-Stokes方程式及可壓縮之Euler方程式。由於物理空間的可變動性，使得分析更形複雜。依物理空間改變之特性，吾人將執行分析於移動及滑動的之網格上以利分析的進行。首先，吾人考慮具實解的問題，以便驗證程式之正確性。接著，吾人亦分析工業應用上有重要性之複雜幾何外型之問題。

關鍵字

那維爾－史多克方程式 ； 歐意耳方程式 ； 移動網絡 ； 滑動網格

並列摘要

We consider in this paper several flow problems which are featured by having time-varying physical domains. The flow equations under investigation are Navier-Stokes equations for the incompressible fluid flow and the Euler equations for the highly compressible flow. The physical domain which varies with time adds additional complexities to the analysis of nonlinear partial differential equations which govern the fluid flows of the present interest. Depending on the nature of the time-varying physical domain, we extend flow analysis codes developed on fixed grids to moving and sliding grids so as to facilitate the analysis. As a first step in developing analysis codes to simulate the incompressible and compressible fluid flows in an arbitrarily configured domain, we consider some problems amenable to analytic solution to verify the ideas adopted and the code developed here. This is followed by investigating some geometrically complex problems of industrial importance.

並列關鍵字

Navier-Stokes equations ； Euler equations ； moving grids ； sliding grids