scholarly journals Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media

2017 ◽  
Vol 39 (6) ◽  
pp. A2935-A2961 ◽  
Author(s):  
Jesse Chan ◽  
Russell J. Hewett ◽  
T. Warburton
Keyword(s):  
Wave Propagation ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Heterogeneous Media ◽  
Galerkin Methods

STABILIZED DISCONTINUOUS GALERKIN METHODS FOR FLOW–SOUND INTERACTION

2007 ◽  
Vol 15 (01) ◽  
pp. 123-143 ◽  
Author(s):  
ANDREAS RICHTER ◽  
JÖRG STILLER ◽  
ROGER GRUNDMANN
Keyword(s):  
Wave Propagation ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Musical Instruments ◽  
Galerkin Methods ◽  
Numerical Tests ◽  
Characteristic Boundary ◽  
Boundary Treatment ◽  
Classical Characteristic ◽  
Local Extrapolation

The wave propagation in musical instruments is considered. A high-order discontinuous Galerkin method for solving the Euler equations is presented, and an alternative concept for supplying local non-reflecting boundary conditions is introduced. This concept is based on local extrapolation in conjunction with a stabilizing slope limiting. The practicability of this method is discussed via numerical tests, and the results are compared with classical characteristic boundary treatment. Investigations of wave propagation phenomena in musical instruments like the bassoon are performed, and the results are presented.

Discontinuous Galerkin Methods and Local Time Stepping for Wave Propagation

2010 ◽  
Author(s):  
M. J. Grote ◽  
T. Mitkova ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Wave Propagation ◽  
Discontinuous Galerkin ◽  
Local Time ◽  
Discontinuous Galerkin Methods ◽  
Galerkin Methods ◽  
Time Stepping ◽  
Local Time Stepping
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