| 1. | They can continue by transfinite induction .
利用超限归纳法，他们可继续下去。
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| 2. | The curved grids are generated by using the transfinite interpolation and the so - called multiblock techniques that originally developed for computation fluid dynamics . the curved grid is taken to constitute a generalized curvilinear system
该方法结合了多块映射和超限插值技术，这项技术出自计算流体力学，它可使产生的网格网线沿着地下所有界面变化。
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| 3. | The transonic steady / unsteady navier - stokes / euler flow solvers based on ausm + scheme have been developed in this dissertation . the structured grids are generated using transfinite interpolation . a cell - centered finite volume approach is used
因此，研究开发高效、高精度、高鲁棒性、实用的跨音速定常、非定常navier - stokes euler方程解算器至关重要。
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| 4. | The main aspects of this dissertation are as follows : 1 . employing the moving grid technique , a 3 - d moving grid based on the transfinite interpolation is developed . this grid has better adaptation than the deforming grid for flapping wing
本文的主要工作表现在以下几个方面： 1 、引入运动网格技术，发展了一套基于广义无限插值理论的适合扑翼计算的三维运动网格，提高了网格对扑动机翼的适应性。
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| 5. | Then a high - degree geometric continuity blending surface is obtained with transfinite interpolate method . ( e ) g3 blending surface with approximation can be constructed by lofting if geometric invariant errors are given , the surface can be converted to b - spline , nurbs form for the purpose of system aggregation
最后，为满足曲面造型系统集成的需要，在保证曲率、曲率导数和挠率精度情况下，将上述研究结果应用于曲面放样逼近方法，得到参数过渡曲面转换成b样条曲面或nurbs曲面的形式。
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| 6. | In order to improve the efficiency of the mesh generation , we employ the transfinite interpolation method . in low speed flow ( m < 0 . 05 ) , the low mach will aggravate the difference between eigenvalues of the system and make the convergence sharply difficult . as for this , we use the preconditioning method to remove it
另外，我们求解的是极低马赫数下的流场( m 0 . 05 ) ，极低的马赫数会导致可压流动方程十分僵硬而难以收敛，对此，我们对n - s方程进行了矩阵预处理。
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