In this paper, a new strategy to establish less time-consuming upwind compact difference method with adjusted dissipation is introduced for solving the incompressible Navier-Stokes (N-S) equations in the streamfunction-velocity form efficiently. By weighted combination of the numerical solutions calculated using the upwind term and the downwind term of the general third-order upwind compact scheme (UCD3), a new fourth-order compact formulation and a third-order upwind compact formulation with adjusted dissipation nature are proposed for computing the first derivatives. Further, they are used to approximate the biharmonic term and the convective terms in the streamfunction-velocity formulation of the N-S equations, respectively. Meanwhile, the first derivatives of the streamfunction (velocities) in the coefficients in the convective terms are solved by the newly proposed fourth-order compact formulation. Temporal discretization for the streamfunction-velocity formulation is addressed with the help of the second-order Crank-Nicolson scheme. Moreover, the newly proposed scheme for the linear models is proved to be unconditionally stable by virtue of the discrete Fourier analysis. Finally, five numerical problems, viz. the analytic solution, Taylor-Green vortex problem, doubly periodic double shear layer flow problem, lid-driven square cavity flow problem and two-sided square cavity flow problem are solved numerically to verify the efficiency and accuracy of the present method. Results solved by the present method match well with the analytic solutions and the existing results proving the accuracy of it. What is more, it is less time-consuming and has lower dissipation than the existing method [20].

为了有效求解流函数-速度形式的不可压缩 Navier-Stokes (NS) 方程，本文引入了一种新的策略来建立耗时较少的调整耗散的迎风紧差分法。通过将使用一般三阶迎风紧致格式（UCD3）的迎风项和顺风项计算的数值解加权组合，提出了一种新的四阶紧致公式和具有调整耗散性质的三阶迎风紧致公式用于计算一阶导数。此外，它们分别用于近似 NS 方程的流函数-速度公式中的双谐波项和对流项。同时，对流项系数中流函数（速度）的一阶导数通过新提出的四阶紧致公式求解。在二阶 Crank-Nicolson 方案的帮助下解决了流函数-速度公式的时间离散化问题。此外，通过离散傅里叶分析，证明了新提出的线性模型方案是无条件稳定的。最后，五个数值问题，即。对解析解、Taylor-Green涡旋问题、双周期双剪切层流动问题、盖驱动方腔流动问题和两侧方腔流动问题进行数值求解，验证了本方法的有效性和准确性。本方法求解的结果与解析解吻合较好，现有结果证明了其准确性。更重要的是，它比现有方法耗时更少，耗散更低[20]。