Adaptive cartesian grid based on an omni-tree 基于復(fù)合叉樹的自適應(yīng)笛卡爾網(wǎng)格應(yīng)用研究
Solution-based grid adaptations are carried out, and efficiently capturing flow features . 5 . coupled with the cartesian grids, a store separation for wing / store configuration is studied 6.對于二維多段翼型繞流,利用混合網(wǎng)格完成了navier一stokes方程的數(shù)值模擬。
Compared to similar methods on cartesian grids, the same accuracy is obtained with a lot fewer grid points, which means that considerable savings in computer memory can be obtained 曲網(wǎng)格偽譜法用較少的網(wǎng)格數(shù)可以獲得與直網(wǎng)格偽譜法相同的精度,從而節(jié)省了計算機(jī)內(nèi)存,這一點對于三維地震模型的計算具有重要意義。
This fact has an important implication for extension to 3d configurations . comparing the synthetic seismogram by using cartesian grids with the synthetic seismogram by using the curved grid, it can prove the approach is effective 通過聲波模型和彈性波模型在直網(wǎng)格下的合成記錄與在曲網(wǎng)格下的合成記錄的比較驗證了方法的有效性與精確性。
Data quality control including sidelobe contamination, data's filling and smoothing, nyquist velocity of bistatic doppler radar, interpolation of velocities from a polar grid to a cartesian grid and problems found during simulating data and solusion to them 介紹了數(shù)據(jù)質(zhì)量控制,包括旁瓣污染、資料的填補(bǔ)與平滑、雙基地最大不模糊速度、從極坐標(biāo)到直角坐標(biāo)的轉(zhuǎn)換以及在模擬風(fēng)場過程中發(fā)現(xiàn)的問題和解決辦法。
4 . a 2-d and 3-d euler equations and n-s equations are solved using the cell-centered finite volume method and four-step runge-kutta scheme on the cartesian grids with standard convergence acceleration techniques such as local time stepping, enthalpy and implicit residual smoothing 使用jameson中心有限體積法和runge-kutta時間推進(jìn)方法,求解了關(guān)于二維、三維復(fù)雜流場的euler、navier-stokes方程,采用了當(dāng)?shù)貢r間步長、隱式殘值光順等多種加速收斂方法。
When applying the conventional fourier pseudospectral method on cartesian grids, curved interfaces are represented in a " staircase fashion " causing spurious diffractions . it is demonstrated that these non-physical diffractions can be eliminated by using curved grids that generally follow all curved interfaces 在直角坐標(biāo)系下用傳統(tǒng)偽譜法模擬地下界面時,彎曲起伏的連續(xù)界面會因離散化而成為階梯狀界面,這種階梯狀界面在模擬波的傳播時,將產(chǎn)生人為繞射,降低合成記錄的精度。
In modern aircraft design, there is an urgent requirement for accurate, efficient and easy-to-use numerical analysis tools . for this purpose, this thesis introduces recent progress in the generation and application of cartesian grid with tree data structure and adaptive refinement . coupled with hybrid grid techniques, euler and navier-stokes equations are solved 本文針對現(xiàn)代飛行器設(shè)計中對實用、高效、準(zhǔn)確的氣動力分析工具的迫切需求,基于叉樹數(shù)據(jù)結(jié)構(gòu),發(fā)展了一種自適應(yīng)直角切割網(wǎng)格方法,采用混合網(wǎng)格技術(shù),實現(xiàn)了對流場euler和navier-stokes方程的計算求解,進(jìn)一步完成了復(fù)雜增升裝置繞流和外掛物分離投放非定常流場的數(shù)值模擬。
Many test cases are calculated to verify the above study . the cases are either real or standard testing models, including multi-element airfoil, wing-body configuration, cone / cylinder missile model and 3-d high-lift systems, etc . the results of present calculation are in good agreement with experiment data, and show flexibility and accuracy of the approaches . base on the cartesian grids, this thesis has targeted the development and integration of many algorithms and techniques such as adaptive refinement, omni-tree data structure, hybrid grid method, etc . an analysis software and research methods are designed and developed for the steady-unsteady and viscous-inviscid flow complex systems and configuration 7.運(yùn)用上述研究成果和結(jié)論,進(jìn)行了大量算例的實驗驗證,外形范圍包括多種標(biāo)模與型號,涉及多段翼型、m6機(jī)翼、細(xì)長體模型、翼身組合體、兩段機(jī)翼增升標(biāo)模、帶縫翼和襟翼的三段增升翼身組合體等復(fù)雜外形,計算結(jié)果均與實驗吻合良好,充分說明了本文發(fā)展的各種算法、流場求解、網(wǎng)格生成方法的正確性和魯棒性。
Based on tree data structure, the cartesian grids about 2-d and 3-d configurations are generated using the surface-cutting procedure . in the course of grid generation, a two-step ray-casting algorithm to excluded cells inside the body and a cell-merging technique to avoid numerical instability are fully developed . after creating these surrounding grids, the cell-cutting algorithm is designed to perform geometry-based refinement of grids, and greatly improve the applicability and quality of grid generation 采用物面切割,基于叉樹數(shù)據(jù)結(jié)構(gòu),發(fā)展了一種普遍適用于二維和三維外形的直角切割網(wǎng)格生成方法;構(gòu)造兩步射線求交算法,刪除外形內(nèi)的固體網(wǎng)格,以及小網(wǎng)格合并算法,確保網(wǎng)格質(zhì)量和流場計算的穩(wěn)定性;運(yùn)用對任意網(wǎng)格的切割細(xì)分算法,實現(xiàn)了針對幾何外形的自適應(yīng)網(wǎng)格加密,使得網(wǎng)格生成更具普適性和靈活性。