scholarly journals COMPUTATIONAL ACOUSTICS IN MULTI-FIELD PROBLEMS

2011 ◽  
Vol 19 (01) ◽  
pp. 27-62 ◽  
Author(s):  
MANFRED KALTENBACHER
Keyword(s):  
Mathematical Modeling ◽  
Numerical Simulation ◽  
Finite Element ◽  
Focused Ultrasound ◽  
Medical Science ◽  
Scientific Field ◽  
High Intensity Focused Ultrasound ◽  
Fe Method ◽  
Main Interest ◽  
Practical Applications

We present physical/mathematical models base on partial differential equations (PDEs) and efficient numerical simulation schemes based on the Finite Element (FE) method for multi-field problems, where the acoustic field is the field of main interest. Acoustics, the theory of sound, is an emerging scientific field including disciplines from physics over engineering to medical science. We concentrate on the following three topics: vibro-acoustics, aero-acoustics and high intensity focused ultrasound. For each topic, we discuss the physical/mathematical modeling, efficient numerical schemes and provide practical applications.

Focus Control Aided by Numerical Simulation in Heterogeneous Media for High-Intensity Focused Ultrasound Treatment

2013 ◽  
Vol 52 (7S) ◽  
pp. 07HF01 ◽  
Author(s):  
Ryuta Narumi ◽  
Kosuke Matsuki ◽  
Shigeru Mitarai ◽  
Takashi Azuma ◽  
Kohei Okita ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
High Intensity ◽  
Focused Ultrasound ◽  
Heterogeneous Media ◽  
High Intensity Focused Ultrasound ◽  
Ultrasound Treatment

scholarly journals Modelling of Permeation Grouting Through Soils

2020 ◽  
Vol 10 (1) ◽  
pp. 11-16
Author(s):  
S. B. Coskun ◽  
T. Tokdemir
Keyword(s):  
Mathematical Modeling ◽  
Numerical Simulation ◽  
Finite Element ◽  
Porous Medium ◽  
Capillary Pressure ◽  
Immiscible Fluids ◽  
Saturated Soils ◽  
Governing Equations ◽  
Permeation Grouting ◽  
Element Technique

AbstractIn this study, mathematical modeling of permeation grouting through fully saturated soil is proposed based on immiscible multiphase flow theory. Grout flow in the medium is modeled together with the existing water as the simultaneous flow of two immiscible fluids. In the model, the porous medium is assumed as isotropic and rigid, fluids are assumed as incompressible and capillary pressure is assumed as negligible. Governing equations are discretized using upstream weighted finite element technique and results show that, proposed models give good results and may be used in the numerical simulation of grouting through fully saturated soils.

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