Abstract
A new non-iterative approach has been developed to calculate surface fluxes. The range \(-5 \le Ri_\mathrm{B} < 0, 10 \le \,z/z_\mathrm{0} \,\le 10^{5}\) and \(-0.5 \le \ln (z_\mathrm{0}/z_\mathrm{0h}) \,\le 30\) is divided into eight regions, and in each of the regions, multiple linear regression is performed to obtain non-iterative solutions for surface fluxes. As compared to the other two most recent non-iterative schemes, we show that the suggested scheme has the smallest bias. The maximum relative errors of turbulent transfer coefficients for momentum \((C_\mathrm{M})\) and sensible heat \((C_\mathrm{H})\), as compared to those obtained from the classic iterative method, are always smaller than 2 % from our new non-iterative scheme.
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