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22 238 (0,103s)

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Earth's core convection: Boussinesq approximation or incompressible approach?

Most geodynamo models are based on the Boussinesq approximation that simplifies the mathematics of the problem by neglecting the compressibility of the liquid in the Earth's core. However, the Boussinesq approximation

DE - Zemský magnetismus, geodesie, geografie

  • 2010
  • Jx
Result

Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity

We prove the existence and uniquenss of weak solutions to the variational formulation of the Maxwell-Boussinesq approximation problem. The shape sensitivity analysis by the boundary variations technique is performed for the weak sol...

BA - Obecná matematika

  • 2009
  • Jx
Result

The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system

It is shown that solutions of the Navier-Stokes-Fourier system converge for small Mach and Froude numbers to solutions of the Oberbeck-Boussinesq approximation....

BA - Obecná matematika

  • 2009
  • Jx
Result

On the Boussinesq Approximation for Atmospheric Boundary Layer Flows

This article presents the numerical model of atmospheric boundary layer. The governing system the so called Boussinesq approximation. System is solved by the finite-difference semi-implicit scheme. Simple algebraic turbulence model ...

BA - Obecná matematika

  • 2001
  • D
Result

The Oberbeck–Boussinesq approximation and Rayleigh–Benard convection revisited

We consider the Oberbeck-Boussinesq approximation driven by an inhomogeneous temperature distribution on the boundary of a bounded fluid domain. The relevant boundary conditions are perturbed by a non-local term arising in the incom...

Pure mathematics

  • 2024
  • Jimp
  • Link
Result

On the Oberbeck-Boussinesq approximation on unbounded domains

We study the Oberbeck-Boussinesq approximation describing the motion of an incompressible, heat-conducting fluid occupying a general unbounded domain in R3. We provide a rigorous justification of the model by means of scale analysis...

BA - Obecná matematika

  • 2012
  • C
  • Link
Result

Fractal dimension, attractors and Boussinesq approximation in three dimensions

BA - Obecná matematika

  • 1994
  • Jx
Result

On the application of grid-spectral method to the solution of geodynamo equations.

The geodynamo process of magnetic field generation occurs in the outer core of the Earth and is described by 3D MHD-equations. The focus of this paper is on a numerical solution and thus the equations will be considered, without the loss of generalit...

DE - Zemský magnetismus, geodesie, geografie

  • 2001
  • C
Result

Software STRAT2D for Solution of 2D Stratified Flow

The software solves unstationary stratified flow in 2D in the bounded domain. The mathematical model is based on the Boussinesq approximation of the Navier-Stokes equations. For numerical solution the AUSM MUSL scheme with Hemker-Ko...

BA - Obecná matematika

  • 2009
  • R
Result

ON MODELS FOR VISCOELASTIC MATERIALS THAT ARE MECHANICALLY INCOMPRESSIBLE AND THERMALLY COMPRESSIBLE OR EXPANSIBLE AND THEIR OBERBECK-BOUSSINESQ TYPE APPROXIMATIONS

approximation in fluid mechanics that is frequently used in modeling buoyancy drivenflows is the Oberbeck-Boussinesq approximation. Originally, the approximation was used for studying. However, the approximati...

BK - Mechanika tekutin

  • 2013
  • Jx
  • Link
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