本文選題：虛擬現(xiàn)實(shí)　切入點(diǎn)：PDE　出處：《艦船科學(xué)技術(shù)》2017年15期 　論文類型：期刊論文

【摘要】：隨著虛擬現(xiàn)實(shí)(Virtual Reality,VR)相關(guān)硬件的發(fā)展以及軟件技術(shù)的日趨成熟,VR技術(shù)正在進(jìn)入人們的日常生活。然而不可否認(rèn),VR的核心問題之一——物理真實(shí)感依然沒有很好的解決。其原因大多都是由于解算模型控制方程耗費(fèi)了大量的時(shí)間,從而迫使人們采用犧牲精度的方法以滿足實(shí)時(shí)性的要求。而許多的物理模型的解算都?xì)w結(jié)于偏微分方程求解,因此如何準(zhǔn)確高效快速的求解偏微分方程(PDE)和PDE方程組對(duì)于提升虛擬現(xiàn)實(shí)系統(tǒng)的物理真實(shí)感有著至關(guān)重要的作用。本文從求解典型PDE出發(fā),建立相應(yīng)的PDE求解器,并對(duì)計(jì)算結(jié)果進(jìn)行驗(yàn)證。最后將該思想應(yīng)用于計(jì)算流體力學(xué)領(lǐng)域,通過對(duì)流體力學(xué)中的NS方程和水力學(xué)中的淺水波方程的求解,得到計(jì)算區(qū)域的速度場(chǎng)或高度場(chǎng),并且對(duì)結(jié)果進(jìn)行驗(yàn)證。結(jié)果表明,該方法具有較高的可信度。
[Abstract]:With the development of virtual reality (VR) related hardware and the maturation of software technology, VR technology is entering people's daily life. However, there is no denying that one of the core problems of VR, physical reality, has not been solved very well. Most of the reason is that solving the model control equation takes a lot of time, Thus forcing people to use the method of sacrificing precision to meet the requirement of real-time, and many physical models are solved by partial differential equations. Therefore, how to solve PDE (partial differential equation) and PDE equations accurately and efficiently is very important to improve the physical reality of virtual reality system. In this paper, a corresponding PDE solver is established based on the solution of typical PDE. Finally, this idea is applied to the field of computational fluid dynamics. By solving the NS equation and shallow water wave equation in hydrodynamics, the velocity field or height field in the computational region is obtained. The results show that the method is reliable.
【作者單位】： 大連海事大學(xué)航海動(dòng)態(tài)仿真和控制實(shí)驗(yàn)室;
【基金】：863課題(2015AA016404) 海洋公益性行業(yè)科研專項(xiàng)(201505017-4) 中央高�；究蒲袠I(yè)務(wù)費(fèi)專項(xiàng)資金資助(3132016310)
【分類號(hào)】：O241.82;TP391.9
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本文編號(hào)：1614972