Linear and Nonlinear Splitting Schemes Conserving Total Energy and Mass in the Shallow Water Model
Por:
Skiba Y.N.
Publicada:
1 ene 2023
Resumen:
Two linear and one nonlinear implicit unconditionally stable finite-difference schemes of the second-order approximation in all variables are given for a shallow-water model including the rotation and topography of the earth. The schemes are based on splitting the model equation into two one-dimensional subsystems. Each of the subsystems conserves the mass and total energy in both differential and discrete (in time and space) forms. One of the linear schemes contains a smoothing procedure not violating the conservation laws and suppressing spurious oscillations caused by the application of central-difference approximations of spatial derivatives. The unique solvability of the linear schemes and convergence of iterations used to find their solutions are proved. © 2023, World Scientific and Engineering Academy and Society. All rights reserved.
Filiaciones:
Skiba Y.N.:
Instituto de Ciencias de la Atmósfera y Cambio Climático, Universidad Nacional Autónoma de México, Av. Universidad #3000, CU/UNAM, Coyoacán, Mexico City, 04510, Mexico
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