Far-field approximations to the derivatives of Green’s function for the Ffowcs Williams and Hawkings equation
نویسندگان
چکیده
Abstract The surface correction to the quadrupole source term of Ffowcs Williams and Hawkings integral in frequency domain suffers from computation high-order derivatives Green’s function. far-field approximations function have been used without derivation verification previous work. In this work, we provide detailed derivations binomial expansions for condition are employed during circumvent difficulties computing derivatives. systemically verified by using benchmarks two -dimensional convecting vortex co-rotating pair. addition, multiple integrals
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ژورنال
عنوان ژورنال: Advances in Aerodynamics
سال: 2022
ISSN: ['2524-6992']
DOI: https://doi.org/10.1186/s42774-022-00109-x