Hybrid Methods for Computing the Streamfunction and Velocity Potential for Complex Flow Fields over Mesoscale Domains
نویسندگان
چکیده
Abstract Three types of previously used numerical methods are revisited for computing the streamfunction ? and velocity potential ? from horizontal v in limited domains. The first type, called SOR-based method, uses a classical successive over-relaxation (SOR) scheme to compute (or ) with an arbitrary boundary condition (BC) then BC derived ? . second spectral formulations construct inner part ( ?, )—the inversion (vorticity, divergence) homogeneous BC, remaining harmonic BCs third integral formulas internally induced domain-internal using free-space Green’s function without minus internally-induced part. Although these have been successfully applied flows large-scale synoptic-scale domains, their accuracy is compromised when complex over mesoscale as shown this paper. To resolve problem, two hybrid approaches, integral-SOR method integral-spectral developed by combining step adopted methods, respectively. Upon testing on real-case flows, significantly more accurate than noting that latter still generally three previously-used methods. recommended future applications diagnostic studies flows.
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ژورنال
عنوان ژورنال: Advances in Atmospheric Sciences
سال: 2022
ISSN: ['0256-1530', '1861-9533']
DOI: https://doi.org/10.1007/s00376-021-1280-y