Abstract:
The basic concept of the SemiLagrangian method was simply introduced,and then its concrete implementation in the primitiveequations model,especially in IFS model was presented.The idea of the Lagrangian advection is that an observer watches the world evolve around him as he travels with a fluid particle,and the key to its implementation is the calculation of the trajectory.Taking advantage of the spherical trigonometry and a higherorder approximation,the horizontal coordinates of the position for the midpoint and the departure point of the trajectory can be calculated directly in the spherical polar coordinates.To obtain the advantages of a semiLagrangian integration scheme,it was necessary to choose the order of the interpolation higher than fourthorder for the terms evaluated at the departure point.However,in order to avoid expensive cubic interpolation in three dimension,it was better to choose 3D "quasicubic" interpolation.