What Was the YBJ Kinectic Energy Budget In Our Near-Inertial Waves and Mesoscale Eddies Study?

Authors: (1) Scott Conn, California Institute of Technology, Pasadena, California; (2) Joseph Fitzgerald, California Institute of Technology, Pasadena, California; (3) Jorn Callies, California Institute of Technology, Pasadena, California. Table of Links Abstract and Intro Observations Models Results Discussion Conclusion APPENDIX A APPENDIX B APPENDIX C References APPENDIX A YBJ kinetic energy Budget The YBJ kinetic energy budget may be formed by multiplying (2) by −𝑀∗ /2 and adding the complex conjugate. Using integration by parts, the resulting kinetic energy budget can be written as where We are free to choose C as a boundary condition on the new field 𝐴, i.e., we can choose 𝐴 at 𝑧 = −𝐻 as the solution of (A4) for some specified C. A sensible choice for the transformation is thus setting C = 0 and Under this transformation, the kinetic energy budget becomes (4), with the horizontal and vertical fluxes given by The divergence of the flux terms vanishes when the budget is integrated over the entire domain, and the only terms that can alter the domain-integrated kinetic energy are the wind work and dissipation: This paper is available on arxiv under CC 4.0 license. Authors: (1) Scott Conn, California Institute of Technology, Pasadena, California; (2) Joseph Fitzgerald, California Institute of Technology, Pasadena, California; (3) Jorn Callies, California Institute of Technology, Pasadena, California. Authors: Authors: (1) Scott Conn, California Institute of Technology, Pasadena, California; (2) Joseph Fitzgerald, California Institute of Technology, Pasadena, California; (3) Jorn Callies, California Institute of Technology, Pasadena, California. Table of Links Abstract and Intro Abstract and Intro Observations Observations Models Models Results Results Discussion Discussion Conclusion Conclusion APPENDIX A APPENDIX A APPENDIX B APPENDIX B APPENDIX C APPENDIX C References References APPENDIX A YBJ kinetic energy Budget The YBJ kinetic energy budget may be formed by multiplying (2) by −𝑀∗ /2 and adding the complex conjugate. Using integration by parts, the resulting kinetic energy budget can be written as where We are free to choose C as a boundary condition on the new field 𝐴, i.e., we can choose 𝐴 at 𝑧 = −𝐻 as the solution of (A4) for some specified C. A sensible choice for the transformation is thus setting C = 0 and Under this transformation, the kinetic energy budget becomes (4), with the horizontal and vertical fluxes given by The divergence of the flux terms vanishes when the budget is integrated over the entire domain, and the only terms that can alter the domain-integrated kinetic energy are the wind work and dissipation: This paper is available on arxiv under CC 4.0 license. This paper is available on arxiv under CC 4.0 license. available on arxiv

What Was the YBJ Kinectic Energy Budget In Our Near-Inertial Waves and Mesoscale Eddies Study?

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