Hydrostatic equilibrium

About: Hydrostatic equilibrium is a research topic. Over the lifetime, 2451 publications have been published within this topic receiving 62172 citations.

Finite volume method on unstructured grids in 3D with applications to the simulation of gravity waves

Abstract: ¶A code for the simulation of atmospheric flows in 3D is presented. The underlying mathematical model is fully compressible, it takes gravity into account but Coriolis forces, turbulence and viscosity are neglected. The general numerical code consists of a finite volume discretization on unstructured hexahedral grids in 3D. The code is presently being investigated on applications to the calculation of atmospheric gravity waves on a mesh which has a structured type and is locally refined near the orography. We develop two schemes, the main difference between them lies in the different discretizations for the mass fluxes. We show that both schemes resolve typical structures of gravity waves in potential flow, linear hydrostatic motion and nonlinear non-hydrostatic regime. We compare advantages and disadvantages of the developed schemes.

Is The Layer C (413-1000km) Inhomogeneous?

Abstract: There are opinions that the part of the earth's mantle is not homogeneous. 1-g-1dφ/dr which was first introduced by SULLEN (1949), the calculation of velocities of seimic waves (BIRCH, 1939) and the density distribution based on WILLIAMSON-ADAMS-BULLEN'S method (BIRCH, 1954) have been thought as the evidences to show that these opinions are valid. The method developed in this paper shows that the density distribution can be derived without the assumption of hydrostatic equilibrium within the earth's mantle. The results obtained in the present paper show that the abnormal characters of the layer C (413-1000km) can be explained by the non-hydrostatic equilibrium state of the layer instead of its inhomogeneity.