TY - JOUR
T1 - Wave propagation in advected acoustics within a non-uniform medium under the effect of gravity
AU - Abarbanel, S.
AU - Ditkowski, A.
N1 - Publisher Copyright:
© 2014 IMACS.
PY - 2015/7
Y1 - 2015/7
N2 - We investigate linear wave propagation in non-uniform medium under the influence of gravity. Unlike the case of constant properties medium here the linearized Euler equations do not admit a plane-wave solution. Instead, we find a "pseudo-plane-wave". Also, there is no dispersion relation in the usual sense. We derive explicit analytic solutions (both for acoustic and vorticity waves) which, in turn, provide some insights into wave propagation in the non-uniform case.
AB - We investigate linear wave propagation in non-uniform medium under the influence of gravity. Unlike the case of constant properties medium here the linearized Euler equations do not admit a plane-wave solution. Instead, we find a "pseudo-plane-wave". Also, there is no dispersion relation in the usual sense. We derive explicit analytic solutions (both for acoustic and vorticity waves) which, in turn, provide some insights into wave propagation in the non-uniform case.
KW - Acoustic waves
KW - Vorticity waves
KW - Wave propagation
UR - http://www.scopus.com/inward/record.url?scp=84925291107&partnerID=8YFLogxK
U2 - 10.1016/j.apnum.2014.04.003
DO - 10.1016/j.apnum.2014.04.003
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AN - SCOPUS:84925291107
SN - 0168-9274
VL - 93
SP - 61
EP - 68
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -