以混合式邊界條件探討正方形平行平板間自然對流現象

Abstract

本研究主要探討三維正方形平行平板間之高溫自然對流現象。由於此種存在多重且相鄰接的開放性空間無法以LODI法正確計算開放性邊界，因此本研究以吸收性邊界條件配合LODI法，計算三維正方形平行平板在不同加熱面間之自然對流現象，並探討高溫自然對流之不穩定現象問題。此外，由於本研究之計算過程繁複且需耗費大量運算資源及時間，特別發展GPU平行化之計算，並大幅提升計算效能。綜上所述，本研究所發展之邊界條件將可作為各種開放性邊界問題之基礎並進而解決各種複雜的流體問題。

This study investigates the subject of high temperature natural convection between parallel square plates. The modified LODI method for low speed compressible flow is added with the absorbing boundary condition to solve the multiple open boundaries around the parallel square plates and successfully reveal the unstable phenomena caused by high temperature natural convection. Because of the tremendous computational resource of this study, high speed parallel computation by GPU is built to improve the efficiency of calculation. Therefore, the numerical method and boundary condition in this study can be a basement of the open boundary issue in many complex fluid dynamics problems.