scholarly journals Coupled Rock/Fluid Mechanics Numerical Simulations Applied To Well Completions Final Report CRADA No. TC-1112-95

2018 ◽  
Author(s):  
L. A. Behrmann ◽  
W. J. Nellis
Keyword(s):  
Fluid Mechanics ◽  
Numerical Simulations ◽  
Final Report ◽  
Well Completions

scholarly journals Approximate ordinary differential equations for the optimal exercise boundaries of American put and call options

2013 ◽  
Vol 25 (1) ◽  
pp. 27-43 ◽  
Author(s):  
MARIANITO R. RODRIGO
Keyword(s):  
Differential Equations ◽  
Fluid Mechanics ◽  
Numerical Simulations ◽  
Ordinary Differential Equations ◽  
Boundary Layers ◽  
Mellin Transform ◽  
Call Option ◽  
Option Prices ◽  
Analytical Formulas ◽  
American Put

We revisit the American put and call option valuation problems. We derive analytical formulas for the option prices and approximate ordinary differential equations for the optimal exercise boundaries. Numerical simulations yield accurate option prices and comparable computational speeds when benchmarked against the binomial method for calculating option prices. Our approach is based on the Mellin transform and an adaptation of the Kármán–Pohlausen technique for boundary layers in fluid mechanics.

scholarly journals An Effect of Electrokinetics Phenomena on Nonlinear Wave Propagation in Bubbly Liquids

2021 ◽  
Vol 26 (3) ◽  
pp. 177-186
Author(s):  
G. Panahov ◽  
E. Abbasov ◽  
S. Bakhtiyarov ◽  
P. Museibli
Keyword(s):  
Wave Propagation ◽  
Fluid Mechanics ◽  
Numerical Simulations ◽  
Nonlinear Wave ◽  
Nonlinear Waves ◽  
Electrical Potential ◽  
Gas Production ◽  
Bubbly Liquid ◽  
Internal Electric Field ◽  
Nonlinear Wave Propagation

Abstract A study of nonlinear waves in liquid-gas mixtures with the consideration of internal effects is an important problem of both the fundamental and the applied fluid mechanics. Investigation of nonlinear waves in the gas-liquid mixtures with allowance for internal effects is an important task of both fundamental and applied fluid mechanics. These problems often arise in industrial processes such as oil and gas production, hydrocarbons pipeline transportation, gas-saturated fluids flow in pipelines, etc. In this work, we investigate the effect of the internal electric field on the nonlinear wave propagation in a bubbly liquid. Numerical simulations have been conducted to study the nonlinear waves described by the nonlinear Burgers-Korteweg-de Vries equation. The numerical simulations showed that the electrokinetic processes significantly affect the wave propagation process. The amplitude of the waves gradually decreases when the size of the gas bubble is decreasing and the electrical potential increases. A good agreement of obtained results with our previous predictions is found.

scholarly journals Fluid mechanics of fusion lasers. Final report, September 11, 1978-June 5, 1980

1980 ◽  
Author(s):  
J Shwartz ◽  
V A Kulkarny ◽  
D A Ausherman ◽  
H H Legner ◽  
B Sturtevant
Keyword(s):  
Fluid Mechanics ◽  
September 11 ◽  
Final Report

scholarly journals Stable formations of self-propelled fish-like swimmers induced by hydrodynamic interactions

2018 ◽  
Vol 15 (147) ◽  
pp. 20180490 ◽  
Author(s):  
Longzhen Dai ◽  
Guowei He ◽  
Xiang Zhang ◽  
Xing Zhang
Keyword(s):  
Energy Efficiency ◽  
Fluid Mechanics ◽  
Numerical Simulations ◽  
Active Control ◽  
The Self ◽  
Hydrodynamic Interactions ◽  
Control Mechanisms ◽  
Fish Schools ◽  
Emergent Feature ◽  
Macro Scale

Fish schools are fascinating examples of macro-scale systems with collective behaviours. According to conventional wisdom, the establishment and maintenance of fish schools probably need very elaborate active control mechanisms. Sir James Lighthill posited that the orderly formations in fish schools may be an emergent feature of the system as a result of passive hydrodynamic interactions. Here, numerical simulations are performed to test Lighthill’s conjecture by studying the self-propelled locomotion of two, three and four fish-like swimmers. We report the emergent stable formations for a variety of configurations and examine the energy efficiency of each formation. The result of this work suggests that the presence of passive hydrodynamic interactions can significantly mitigate the control challenges in schooling. Moreover, our finding regarding energy efficiency also challenges the widespread idea in the fluid mechanics community that the diamond-shaped array is the most optimized pattern.

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