Studies of thermal convection with application to convection in the earth's mantle
Abstract
Finite difference numerical methods are applied to several problems of finite amplitude thermal convection relevant to the study of convective motions in the earth's mantle. PART I considers the mathematical and physical formulation of the problems. Equations governing thermal convection with dissipative heating and compressibility are derived, and simplifications appropriate for convection in the earth's mantle are discussed. Numerical methods for treating thermal convection with large viscosity variations are reviewed, and several improvements to existing methods are developed. In PART II, numerical experiments of steadystate thermal convection in a cylindrical geometry which have been carried out to identify the conditions necessary for plumes to occur in the mantle are discussed. Internally and baseheated flows with both constant and variable diffusion creep viscosity are considered. These experiments show that plumes occur only for baseheated, variable viscosity flows.
 Publication:

Ph.D. Thesis
 Pub Date:
 1975
 Bibcode:
 1975PhDT........21P
 Keywords:

 Earth Mantle;
 Free Convection;
 Compressibility;
 Convective Flow;
 Dissipation;
 Finite Difference Theory;
 Kinematics;
 Numerical Analysis;
 Viscosity;
 Geophysics