A Partial Differential Equation Solver

Modeling Materials Processes with the Continuum Assumption

Materials Science and Engineering Seminar

Zachary J. Morgan, PhD Candidate
Department of Materials Science and Engineering
Michigan Technological University

Abstract: The development of a C library solver for partial differential equations is presented. The design and feature of the solver are discussed including algorithms and parallelization. The semi-implicit method used for time integration is validated and refined using one-dimensional linear and nonlinear equations. Applications to materials processes including fluid flow, elastic deformation, mass diffusion, charge conduction, and heat conduction are showcased. Modeling of polycrystals with anisotropic properties is illustrated along with effort to visualize grain orientations. Groundwork for implementing non-periodic boundary conditions via spectral differentiation is also shown using the one-dimensional advection-diffusion equation.

Tuesday, March 21, 2017 at 11:00 am to 12:00 pm

Minerals and Materials Engineering Building (M&M), 610
1400 Townsend Drive, Houghton, MI 49931

Event Type

Academics, Lectures/Seminars

Target Audience

Students, Graduate, Faculty/Staff, General Public

Subscribing Departments ?

College of Engineering, Materials Science and Engineering



Host ?

Department of Materials Science and Engineering


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