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2006•Journal of Tropical MeteorologyRequires access

MATCH BETWEEN THE HORIZONTAL RESOLUTION AND THE VERTICAL ONE IN NONHYDROSTATICAL ANELASTIC MODEL

Yudi Liu, Tian Fu-hou

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Abstract

For the purpose of theoretically investigating the match between the horizontal and vertical resolutions in the nonhydrostatical anelastic model,starting from the linear baroclinic anelastic equations,the analytical frequency and horizontal/vertical group velocity are derived.For comparison,the discretized frequency and horizontal/vertical group velocity are gained from the discretized equations on the best 3D grid C/CP.Then we graphically discuss the errors produced in the cases of different horizontal and vertical grid spacing.The result shows that when the vertical grid-spacing is comparable to the horizontal one,the frequency and horizontal/vertical group velocity of the inertial-gravitational wave are well simulated on the C/CP grid in the nonhydrostatical anelastic model,and their relative errors are below 5%.

About this research paper

What this paper is about

For the purpose of theoretically investigating the match between the horizontal and vertical resolutions in the nonhydrostatical anelastic model,starting from the linear baroclinic anelastic equations,the analytical frequency and horizontal/vertical group velocity are derived.For comparison,the discretized frequency and horizontal/vertical group velocity are gained from the discretized equations on the best 3D grid C/CP.Then we graphically discuss the errors produced in the cases of different horizontal and vertical grid spacing.The result shows that when the vertical grid-spacing is comparable to the horizontal one,the frequency and horizontal/vertical group velocity of the inertial-gravitational wave are well simulated on the C/CP grid in the nonhydrostatical anelastic model,and their relative errors are below 5%.

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Available abstract

For the purpose of theoretically investigating the match between the horizontal and vertical resolutions in the nonhydrostatical anelastic model,starting from the linear baroclinic anelastic equations,the analytical frequency and horizontal/vertical group velocity are derived.For comparison,the discretized frequency and horizontal/vertical group velocity are gained from the discretized equations on the best 3D grid C/CP.Then we graphically discuss the errors produced in the cases of different horizontal and vertical grid spacing.The result shows that when the vertical grid-spacing is comparable to the horizontal one,the frequency and horizontal/vertical group velocity of the inertial-gravitational wave are well simulated on the C/CP grid in the nonhydrostatical anelastic model,and their relative errors are below 5%.

Key concepts: Horizontal and vertical, Discretization, Vertical velocity, Baroclinity, Horizontal resolution, Grid, Geodesy, Geology

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MATCH BETWEEN THE HORIZONTAL RESOLUTION AND THE VERTICAL ONE IN NONHYDROSTATICAL ANELASTIC MODEL — Research Paper | ScholarLens