Finite Element Solution for Wave Propagation in Layered Fluids

1997 ◽  
Vol 05 (04) ◽  
pp. 383-402
Author(s):  
Tony W. H. Sheu ◽  
C. C. Fang
Keyword(s):  
Finite Element ◽  
Wave Propagation ◽  
Finite Element Model ◽  
Element Model ◽  
Analytic Solutions ◽  
Analysis Tool ◽  
Galerkin Finite Element ◽  
Flux Corrected Transport ◽  
Characteristic Finite Element ◽  
Medium Change

A hyperbolic equation is considered for the propagation of pressure disturbance waves in layered fluids having different fluid properties. For acoustic problems of this sort, the characteristic finite element model alone does not suffice to ensure prediction of the monotonic wave profile across fluids having different properties. A flux corrected transport solution algorithm is intended for incorporation into the underlying Taylor–Galerkin finite element framework. The advantage of this finite element approach, in addition to permitting oscillation-free solutions, is that it avoids the necessity of dealing with medium discontinuity. As an analysis tool, the proposed monotonic finite element model has been intensively verified through problems which are amenable to analytic solutions. In modeling wave propagation in layered fluids, we have investigated the influence of the degree of medium change on the finite element solutions. Also, different finite element solutions are considered to show the superiority of using the flux corrected transport Taylor–Galerkin finite element model.

A HIGH RESOLUTION FINITE ELEMENT ANALYSIS FOR NONLINEAR ACOUSTIC WAVE PROPAGATION

1994 ◽  
Vol 02 (01) ◽  
pp. 29-51 ◽  
Author(s):  
TONY W. H. SHEU ◽  
C. C. FANG
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Acoustic Field ◽  
Prediction Method ◽  
Element Model ◽  
Acoustic Wave Propagation ◽  
Element Analysis ◽  
Galerkin Finite Element ◽  
Flux Corrected Transport ◽  
Nonlinear Acoustic

We investigate the application of Taylor Galerkin finite element model to simulate the propagation of impulse disturbances governed by the nonlinear Euler equations. This formulation is based on the conservation variables rather than the primitive variables so that the slowly emerging sharp acoustic profiles due to the initial fluctuation can be sharply captured. We show that when the generalized Taylor Galerkin finite element model is combined with the flux corrected transport technique of Boris and Book, the acoustic field can be more accurately predicted. The proposed prediction method was validated first by simulating different classes of transport profiles before applying it to investigate the truly nonlinear acoustic field emanating from an initial square pulse.

A Parallel h-Adaptive Finite Element Model for Wind Energy Assessment in Nevada

2003 ◽  
Author(s):  
Darrell W. Pepper ◽  
Yitung Chen ◽  
Joseph M. Lombardo
Keyword(s):  
Finite Element ◽  
Wind Energy ◽  
Finite Element Model ◽  
Initial Conditions ◽  
Meteorological Data ◽  
Equations Of Motion ◽  
Element Model ◽  
Adaptive Finite Element ◽  
Galerkin Finite Element ◽  
Energy Assessment

A Petrov-Galerkin finite element model that employs local mesh adaptation is being developed to determine potential wind energy sites within the state of Nevada. Meteorological data collected from various private, county, city, and government agencies are used to generate diagnostic flow fields, which subsequently provide initial conditions for the prognostic solution of the time-dependent equations of motion and species transport. The model runs on a multiprocessor SGI Onyx 3800. Results of the data collection, including wind energy site forecasts, will be made available on the web when the assessment for the entire state is completed.

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