Registro de resúmenes

Reunión Anual UGM 2023


MSG-1

 Resumen número: 0012  |  Resumen aceptado  
Presentación oral

Título:

LINEAR AND NONLINEAR SPLITTING SCHEMES CONSERVING TOTAL ENERGY AND MASS IN THE SHALLOW WATER MODEL

Autor:

Iouri Skiba
Universidad Nacional Autónoma de México, ICAYCC
skiba@unam.mx

Sesión:

MSG Modelación de sistemas geofísicos Sesión regular

Resumen:

Three implicit and unconditionally stable difference schemes of the second order of approximation in all variables are presented for a shallow water model that takes into account the rotation and topography of the Earth. Two schemes are linear and one is nonlinear. The schemes are based on splitting the model equations into two one-dimensional subsystems. Each of the subsystems saves the mass and total energy both in differential and difference (in time and space) form. One of the linear schemes contains a smoothing procedure that does not violate the conservation laws and suppresses false oscillations caused by the use of central-difference approximations for spatial derivatives. The unique solvability of linear schemes and the convergence of iterations used to find their solutions are proved.





Reunión Anual UGM 2023
29 de Octubre al 3 de Noviembre
Puerto Vallarta, Jalisco, México