Kenneth Duru - Applied Search Candidate Colloquium
Event Type:
Colloquium
Speaker:
Dr. Kenneth Duru
Event Date:
Thursday, January 18, 2018 -
3:30pm to 4:45pm
Location:
SMLC 356
Audience:
Faculty/StaffStudents
Sponsor/s:
Applied Search Committee
Event Description:
Speaker: Dr. Kenneth Duru
Title: High fidelity numerical methods and simulation tools for time-domain wave propagation problems
Abstract
High order accurate and robust (provably stable) numerical methods for time–domain propagating
waves are critical for progress in many fields of engineering and physical sciences. Although
frequency-domain calculations still dominate much of the applied work, time-domain simulations
will become increasingly important to study broadband problems and nonlinear scatterers and
sources. With the advent of exascale machines, the development of reliable high order accurate and
energy aware (compute bound) numerical schemes becomes even more imperative, since it will enable
optimal solutions for many wave propagation problems. Effective time-domain solvers must include
domain truncation schemes which provide arbitrary accuracy at small cost and high order accurate
and time stable volume discretizations applicable to het- erogeneous media with complex geometries.
Furthermore, propagating waves are described by hyperbolic partial differential equations (PDEs),
and because of the complexities of real geometries, internal interfaces, nonlinear
boundary/interface conditions and the presence of disparate spatial and temporal scales in real
media and sources, discontinuities and sharp wave fronts become fundamental features of the
solutions. These introduce several theoretical and numerical challenges since we must resolve sharp
wave fronts and accurately simulate discontinuous solutions.
In this presentation, I will talk about
1. New theories and practical aspects of perfectly matched layers to efficiently truncate large
computational domains.
2. A systematic way to derive high resolution and strictly stable finite difference and
discontin- uous Galerkin approximations for systems of hyperbolic PDEs on conforming and
non-comforming curvilinear meshes.
3. Numerical simulations of seismic waves and dynamic earthquake ruptures on nonplanar faults
embedded in geometrically complex 3D earth models.
Event Contact
Contact Name: Deborah Sulsky
Contact Phone: 505-277-4613
Contact Email: sulsky@math.unm.edu
