( l ) the three - dimensional equations for tidal flow are derived from the navier - stokes equations based on some assumptions . the model is based on the vincenzo casulli method , and semi - implicit finite difference scheme has been used ( 1 )從navier - stokes方程上經(jīng)過假設(shè)和簡化得到的三維潮流控制方程,以vincenzocasulli法,采用半顯半隱差分格式,建立了一個三維潮流數(shù)值模型。
According to actual situation of production wells , external boundary conditions and coupled inner boundary conditions between welibore and adjacent rocks , welibore and production zones , adjacent rocks and production zones are constructed , and an alternate direction implicit finite difference algorithm ( adi ) is used to solve temperature models 根據(jù)生產(chǎn)井的實(shí)際情況,構(gòu)建起外邊界條件以及井筒與圍巖、井筒與產(chǎn)層、圍巖與產(chǎn)層之間的耦合內(nèi)邊界條件,采用交替方向半隱式有限差分方法( adi方法)求解所建立的井下溫度場模型。
Though adopting the - coordinate transformation in the control equations and mode - splitting technique , the external mode ( surface gravity waves ) is solved by the improved double - sweep - implicit finite difference method ; the internal mode ( internal gravity waves ) untilizes the eulerian - lagrangian method , which improves the implicit - difference scheme for the vertical direction . the newly developed 3d numerical tidal model with implicit scheme has been successfully applied in the radial sandbanks area 基于過程分裂法及垂向坐標(biāo)伸縮變換,外模式采用改進(jìn)型雙步全隱有限差分dsi法,內(nèi)模式采用歐拉?拉格朗日公式,改進(jìn)了三維垂向隱式格式,成功地建立了南黃海輻射狀沙脊群海域三維全隱格式潮流數(shù)學(xué)模型。
The research of this dissertation is focused on how to solve the 3 - dimensional compressible navier - stokes equations by the implicit finite difference algorithm and to simulate numerically the unsteady subsonic and transonic viscous flows around rigid and elastic wings . on the base of them the aeroelastic characterictics of an elastic wing have been studied 本文的主要工作是用隱式有限差分法求解三維非定常紊流n - s方程組,數(shù)值模擬剛性機(jī)翼及彈性機(jī)翼的亞、跨、超音速定常及非定常粘性繞流,并在此基礎(chǔ)上研究了彈性機(jī)翼的氣動彈性問題。