Mode analysis of numerical geodynamo models

Numerical Simulations of Geodynamo and Liquid Metal Convection

Saturation and time dependence of geodynamo models

In this study we address the question under which conditions a saturated velocity field stemming from geodynamo simulations leads to an exponential growth of the magnetic field in a corresponding kinematic calculation. We perform global self-consistent geodynamo simulations and calculate the evolution of a kinematically advanced tracer field. The self-consistent velocity field enters the induct...

Development of Numerical Methods for Geodynamo and Mantle Convection Simulations

2. Development of New Spherical Grid: Yin-Yang Grid Since the finite difference method enables us to make highly optimized programs for massively parallel computers, we exploit the possibility of the finite difference method for simulations in spherical shell geometry with radius r (ri ≤ r ≤ ro), colatitude θ (0 ≤ θ ≤ π), and longitude φ (0 ≤ φ < 2π). Because there is no grid mesh that is ortho...

Presentation of two models for the numerical analysis of fractional integro-differential equations and their comparison

In this paper, we exhibit two methods to numerically solve the fractional integro differential equations and then proceed to compare the results of their applications on different problems. For this purpose, at first shifted Jacobi polynomials are introduced and then operational matrices of the shifted Jacobi polynomials are stated. Then these equations are solved by two methods: Caputo fractio...

Comparative Numerical Analysis of RCC Roof Models

A wide spectrum of eco-friendly and innovative building systems is being introduced in the building sector as a consequence of environmental concern. The key to maintaining a comfortable temperature in a building is to reduce the heat transfer out of the building in the winter and reduce heat transfer into the building in the summer. Roofs are construction elements that close the building at th...