The text is detailed to study the deducing process of the nodal finite difference equation , and to study its application hi the rock mass engineering problems 本文詳細研究了節(jié)點有限差分運動方程的推導過程,以及在巖土工程問題中的應用。
It is well known that the integral and finite difference inequalities play a fundamental role in the development of the theory of differential and finite difference equations 積分不等式和離散不等式在研究微分方程與有限差分方程理論過程中具有非常重要的作用。
Thus , non - negative property is suggested as the criterion of stability . furthef , diffusion coefficient is replaced by an artificial one in the finite difference equation to simulate the entropy generation can improve the accuracy of the numerical analysis 在盡可能滿足對流擴散過程數值格式中的輸運性或守恒性及穩(wěn)定性的同時,以擴散熵產仿真為原則的偽擴散系數可有效地提高數值模擬的仿真性,為數值計算中擴散系數的修正提供了一種有效的手段。
( 2 ) the explicit simulating process for the pulse combustion spray drying process in this project , both the gas - phase equations and particle - phase equations were integrated in the computational cell using up - wild scheme to obtain the finite difference equations . the gas - phase equations are solved using the simpler algorithm and multiple iterations have been made based on a two - way coupling ( legaml algorithm ) ( 2 )進行了模型的求解本文詳細論述了該類數學模型的具體求解過程,包括模擬區(qū)域的確定和非結構化網格的劃分、邊界條件的選擇、微分方程的控制容積離散方法、代數方程組的simpler解法以及兩相流方程的legami算法。
When the author sets up the mathematics model with describing the process of two - dimensional debris flow , he develops the continuity equation by the law of conservation of mass and establishes the momentum equations by the law of conservation of momentum . the author makes full use of the advanced computer technologies , establishes the finite difference equation of numerical simulation by the differential operator fission method , and writes programs for computers which contact friendly with the other programs . the parameters are directly input on the keyboard 在泥石流堆積數值模擬方面,作者以前人工作成果為基礎,在建立數學模型時,根據質量守恒原理,推導建立了泥石流連續(xù)性方程,根據動量守恒原理,推導建立了泥石流運動方程;在數值解法上,充分利用高速發(fā)展的計算機技術,采用算子分裂法建立數學模型的差分格式,開放式編制程序,人機對話方式設置參數,計算機程序具有通用性、可擴展性和易維護性。