Poroacoustic Traveling Waves under the Rubin–Rosenau–Gottlieb Theory of Generalized Continua

Abstract

We investigate linear and nonlinear poroacoustic waveforms under the Rubin–Rosenau– Gottlieb (RRG) theory of generalized continua. Working in the context of the Cauchy problem, on both the real line and the case with periodic boundary conditions, exact and asymptotic expressions are obtained. Numerical simulations are also presented, von Neumann–Richtmyer “artificial” viscosity is used to derive an exact kink-type solution to the poroacoustic piston problem, and possible experimental tests of our findings are noted. The presentation concludes with a discussion of possible follow-on investigations.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 14, 2020
Source ID
10.3390/w12030807

Entities

People

  • P.M. Jordan

Organizations

  • Office of Naval Research

Tags

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • STEM Education
  • Statistical inference.