【摘要】 基于梯形渠道临界水深的渐近解 ,通过线性耦合并构造残差的有理分式逼近函数 ,提出了一种渐进耦合法用于构造梯形渠道临界水深的近似公式 ,该公式形式单一 ,计算经济简便 ,其适用范围为解的全体定义域。近似解的精度可达 10 -4 。通过变形改造 ,还构造了另外两种形式略微复杂但精度可达 10 -6的近似公式。更多还原

【Abstract】 According to the asymptotic solution of critical depth for trapezoidal open channels,through linear coupling and constructing a rational fractional approximate function for remainder error,a gradual coupling method is put forward to construct an approximate formula of the critical depth for trapezoidal open channels.The formula is simple in formation,convenient for calculation,and can be applied in the whole definition domain.The accuracy of the approximate solution is within 10\+ -4 .Through transforming the original formula,two other appoximate formulae are established whose accuracy is within 10\+ -6 though they are rather complicated.更多还原