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P3: Dual reciprocity method for studying thermal flows related to magma oceans
Author: Tyler Drombosky , Advisor: Sawata Hier-Majumder (Department of Geology)
Problem Statement Presentation
Project Proposal
Abstract
The tools to computationally model crystals settling in a magma ocean are currently not readily available. Being able to model such behavior may provide clues into the history of early Earth. New numerical simulations could lead to a better understanding of the settling. The equations that describe this settling are well understood, however, no suitable software package is currently available to solve such problems. This project will use the Dual Reciprocity Method, an extension of Boundary Element Method, to generate numerical solutions to a coupled system of Stokes flow and heat equations. The Dual Reciprocity Method allows for free boundary conditions as well as a reduction in problem dimensionality which decreases computation. The final product will combine algorithms from several papers to produce a robust, modular, and highly optimized software package.
MidYear Progress Report and
Presentation
Final Presentation ,
Final Report
