Application of Mathematical Methods for Solving the Problem of Liquid Boundary Conditions in Hydrodynamics

AGOSHKOV V.I.

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Application of Mathematical Methods for Solving the Problem of Liquid Boundary Conditions in Hydrodynamics

机译：数学方法在解决流体动力学中液体边界条件问题中的应用

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The calculation of "boundary functions" on liquid (open) parts of boundaries is a problem in hydrodynamics. We consider this problem using optimal control approaches and apply to some mathematical models. To investigate and to solve the problem we use : (ⅰ) data assimilation processes; (ⅱ) techniques of the optimal control theory; (ⅲ) inverse theory methods; (ⅳ) modern iterative algorithms and numerical methods. We discuss the efficiency of the proposed methodology and present the results of numerical experiments.

机译：边界的液体（开放）部分的“边界函数”的计算是流体力学中的一个问题。我们使用最佳控制方法来考虑此问题，并将其应用于一些数学模型。为了调查和解决问题，我们使用：（ⅰ）数据同化过程；（ⅱ）最优控制理论的技术；（ⅲ）逆向理论方法；（ⅳ）现代迭代算法和数值方法。我们讨论了所提出的方法的效率，并提出了数值实验的结果。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1996年第s1期|p.337-338|共2页
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AGOSHKOV V.I.;
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正文语种 eng
中图分类应用数学;
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Application of Mathematical Methods for Solving the Problem of Liquid Boundary Conditions in Hydrodynamics

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