Skip to main content

Numerical Simulation of Time-Dependent Waves with High Order Accuracy and Interfaces of General Shape

PI: Dr. Semyon Tsynkov (Professor of Mathematics and Associate Director, CRSC)

Support: US Army Research Office (ARO)

Period of Performance: April 8th, 2016 – May 31st, 2021

Budget: $662,000

Summary: Radio waves and sound waves can propagate through various media (like air, water, sand, glass, etc.) and can partially penetrate and partially reflect off various obstacles (a submarine under the ocean surface, a tumor in the human tissue, a land mine buried into the ground, etc.) An efficient capability of simulating these waves on a computer is therefore very important for a variety of applications including radar and sonar imaging, geophysics, radiophysics and telecommunications, medical imaging, nondestructive evaluation of materials, plane and submarine detection, active control of sound, etc. We propose a methodology for simulating the unsteady radio and sound waves on a computer that is superior to other techniques. For a broad class of important problems, it offers both a higher accuracy and faster speed of the simulation. On the applications side, the proposed methods will help address some needs in computational electromagnetism (CEM) in the interest of the US Army, specifically, the electric-field sensing team of the Army Research Laboratory (ARL).