the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Correct boundary conditions for DNS models of nonlinear acoustic-gravity waves forced by atmospheric pressure variations
Yuliya Kurdyaeva
Sergey Kshevetskii
Nikolay Gavrilov
Sergey Kulichkov
Abstract. Currently, international networks exist for high-resolution microbarograph recording wave pressure variations at the surface of the Earth. This increases interest in simulating propagation of waves caused by variations of atmospheric pressure. Such mathematical problem involves a set of primitive nonlinear hydrodynamic equations with lower boundary conditions in the form of wavelike pressure variations at the Earth's surface. To analyze the correctness of the problem, the linearized equations are used near the ground for small amplitudes of surface wave excitation. The method of wave energy functional shows that in nondissipative approximation the solution of the boundary problem is uniquely determined by the variable pressure field at the Earth's surface. Respective dissipative problem has also unique solution with the appropriate choice of lower boundary conditions for temperature and velocity components. To test the numerical algorithm, analytical solutions of the linearized equations for acoustic and gravity wave modes are used. Reasonable agreements of numerical and analytical solutions are obtained. Analytical studies show possibilities of sharp changes of temperature and density near the ground. Numerical simulations confirm these analytical results. Obtained algorithms and computer codes can be used for simulations of atmospheric wave propagation from the pressure variations at the Earth's surface.
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Yuliya Kurdyaeva et al.


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RC1: 'Review of the paper by Yuliya Kurdyaeva,, Sergey Kshevetskii, Nikolai Gavrilov, Sergey Kulichkov, Correct boundary conditions for DNS models of nonlinear acoustic-gravity waves forced by atmospheric pressure variations', Igor Chunchuzov, 07 Jun 2017
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AC2: 'Interactive comment to Igor Сhunchuzov.', Yuliya Kurdyaeva, 16 Jun 2017
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AC2: 'Interactive comment to Igor Сhunchuzov.', Yuliya Kurdyaeva, 16 Jun 2017
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SC1: 'Executive Editor Comment on "Correct boundary conditions for DNS models of nonlinear acoustic-gravity waves forced by atmospheric pressure variations"', Astrid Kerkweg, 08 Jun 2017
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AC1: 'Executive Editor Comment', Yuliya Kurdyaeva, 09 Jun 2017
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AC1: 'Executive Editor Comment', Yuliya Kurdyaeva, 09 Jun 2017
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RC2: 'Review of “Correct boundary conditions for DNS models of nonlinear acoustic-gravity waves forced by atmospheric pressure variations” Author(s): Yuliya Kurdyaeva1, Sergey Kshevetskii1, Nikolai Gavrilov2, Sergey Kulichkov MS No.: doi:10.5194/gmd-2017-76', Anonymous Referee #2, 04 Jul 2017
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AC3: 'General comments for Anonymous Referee #2', Yuliya Kurdyaeva, 17 Jul 2017
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AC3: 'General comments for Anonymous Referee #2', Yuliya Kurdyaeva, 17 Jul 2017


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RC1: 'Review of the paper by Yuliya Kurdyaeva,, Sergey Kshevetskii, Nikolai Gavrilov, Sergey Kulichkov, Correct boundary conditions for DNS models of nonlinear acoustic-gravity waves forced by atmospheric pressure variations', Igor Chunchuzov, 07 Jun 2017
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AC2: 'Interactive comment to Igor Сhunchuzov.', Yuliya Kurdyaeva, 16 Jun 2017
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AC2: 'Interactive comment to Igor Сhunchuzov.', Yuliya Kurdyaeva, 16 Jun 2017
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SC1: 'Executive Editor Comment on "Correct boundary conditions for DNS models of nonlinear acoustic-gravity waves forced by atmospheric pressure variations"', Astrid Kerkweg, 08 Jun 2017
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AC1: 'Executive Editor Comment', Yuliya Kurdyaeva, 09 Jun 2017
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AC1: 'Executive Editor Comment', Yuliya Kurdyaeva, 09 Jun 2017
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RC2: 'Review of “Correct boundary conditions for DNS models of nonlinear acoustic-gravity waves forced by atmospheric pressure variations” Author(s): Yuliya Kurdyaeva1, Sergey Kshevetskii1, Nikolai Gavrilov2, Sergey Kulichkov MS No.: doi:10.5194/gmd-2017-76', Anonymous Referee #2, 04 Jul 2017
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AC3: 'General comments for Anonymous Referee #2', Yuliya Kurdyaeva, 17 Jul 2017
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AC3: 'General comments for Anonymous Referee #2', Yuliya Kurdyaeva, 17 Jul 2017
Yuliya Kurdyaeva et al.
Yuliya Kurdyaeva et al.
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