Laplace Transform Integration of a Baroclinic Model

TL;DR

This paper introduces a Laplace Transform-based time integration scheme for a baroclinic model, demonstrating improved accuracy and comparable computational complexity over traditional semi-implicit methods, with potential benefits for weather forecasting.

Contribution

The paper presents a novel LT-based integration scheme for baroclinic models, showing its advantages over semi-implicit methods in accuracy and efficiency.

Findings

LT scheme is more accurate than SI for linear and nonlinear terms

Numerical experiments confirm superior performance of LT scheme

LT scheme has similar computational complexity to SI

Abstract

A time integration scheme based on the Laplace Transform (LT) has been implemented in a baroclinic primitive equation model. The LT scheme provides an attractive alternative to the popular semi-implicit (SI) scheme. Analysis shows that it is more accurate than SI for both linear and nonlinear terms of the equations. Numerical experiments confirm the superior performance of the LT scheme. The algorithmic complexity of the LT scheme is comparable to SI, with just an additional transformation to vertical eigenmodes each time step, and it provides the possibility of improving weather forecasts at comparable computational cost.