本文采用基于待定函数的系统反推法首次成功地导出了二维非定常粘性流动Navier-Stokes方程的精确变分原理,并进而应用轮转变换导出其对偶变分原理,从而为粘流,特别是湍流的直接数值模拟(通过有限元法或变分差分解法等)或求近似解析解奠定了重要的和严密的理论基础.
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