Parabolic equation modeling of bottom reverberation using seafloor roughness spectra

1990 ◽  
Vol 88 (S1) ◽  
pp. S108-S108
Author(s):  
Lan Nghiem‐Phu ◽  
Frederick Tappert
Keyword(s):  
Parabolic Equation ◽  
Equation Modeling

On the solutions of a fourth order parabolic equation modeling epitaxial thin film growth

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Ning Duan ◽  
Xiaopeng Zhao ◽  
Xiufang Zhao
Keyword(s):  
Thin Film ◽  
Parabolic Equation ◽  
Fourth Order ◽  
Film Growth ◽  
Thin Film Growth ◽  
Equation Modeling ◽  
Epitaxial Thin Film ◽  
Epitaxial Thin Film Growth ◽  
Order Parabolic Equation ◽  
Fourth Order Parabolic Equation

AbstractIn this paper, we study the existence and uniqueness of global weak solution, the regularity of the solutions and the existence of global attractor for a fourth order parabolic equation modeling epitaxial thin film growth with Neumann boundary conditions in two space dimensions.

Efficient parabolic equation modeling with shear (SCRAM)

2011 ◽  
Vol 130 (4) ◽  
pp. 2413-2413
Author(s):  
Richard L. Campbell ◽  
Kevin D. Heaney ◽  
Alec J. Duncan ◽  
Robert D. McCauley
Keyword(s):  
Parabolic Equation ◽  
Equation Modeling

Parabolic‐equation modeling with angle‐dependent surface loss

1989 ◽  
Vol 86 (1) ◽  
pp. 247-251 ◽  
Author(s):  
M. E. Moore‐Head ◽  
W. Jobst ◽  
Eleanor S. Holmes
Keyword(s):  
Parabolic Equation ◽  
Equation Modeling ◽  
Surface Loss

scholarly journals Parabolic Equation Modeling of Scholte Waves and Other Effects Along Sloping Fluid-Solid Interfaces

2021 ◽  
pp. 2050025
Author(s):  
Michael D. Collins ◽  
Adith Ramamurti
Keyword(s):  
Parabolic Equation ◽  
Fluid Layer ◽  
Solid Material ◽  
Single Scattering ◽  
Equation Modeling ◽  
Wide Range ◽  
Scholte Waves ◽  
Scholte Wave ◽  
Shear Speed ◽  
Low Shear

Several methods for handling sloping fluid–solid interfaces with the elastic parabolic equation are tested. A single-scattering approach that is modified for the fluid–solid case is accurate for some problems but breaks down when the contrast across the interface is sufficiently large and when there is a Scholte wave. An approximate condition for conserving energy breaks down when a Scholte wave propagates along a sloping interface but otherwise performs well for a large class of problems involving gradual slopes, a wide range of sediment parameters, and ice cover. An approach based on treating part of the fluid layer as a solid with low shear speed is developed and found to handle Scholte waves and a wide range of sediment parameters accurately, but this approach needs further development. The variable rotated parabolic equation is not effective for problems involving frequent or continuous changes in slope, but it provides a high level of accuracy for most of the test cases, which have regions of constant slope. Approaches based on a coordinate mapping and on using a film of solid material with low shear speed on the rises of the stair steps that approximate a sloping interface are also tested and found to produce accurate results for some cases.

Sign in / Sign up

Export Citation Format

Share Document