Author
Prabir Daripa
Other affiliations: New York University, Brown University
Bio: Prabir Daripa is an academic researcher from Texas A&M University. The author has contributed to research in topics: Boundary value problem & Numerical analysis. The author has an hindex of 17, co-authored 92 publications receiving 993 citations. Previous affiliations of Prabir Daripa include New York University & Brown University.
Papers published on a yearly basis
Papers
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TL;DR: Numerical evidence is provided which suggests that regularization in combination with the most regular spectral filter for small values of the regularization parameter can provide good approximate solutions of the ill-posed Boussinesq equation for longer time than possible otherwise.
67 citations
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11 Sep 2011TL;DR: In this article, a front tracking method is proposed to resolve the wave structures associated with polymer flooding in oil reservoir simulation, which can prevent surface instabilities of the fingering mode.
Abstract: Polymer flooding in oil reservoir simulation is considered in two space dimensions. The wave structures associated with such a process give rise to interesting phenomena in the nonlinear regime which have direct bearing on the efficiency of oil recovery. These waves influence and can prevent surface instabilities of the fingering mode. In this paper we resolve these waves by a front tracking method. We consider the fingering problem and the issue of oil recovery for the polymer flood. The details of these two phenomena depend on the separation between the waves and upon the viscosity contrast between the oil, water and polymer. We identify a nonlinear transfer of instability between adjacent waves and a nonlinear enhancement of recovery due to successive waves. The conclusions produced by this work are also pertinent to tracer flooding.One interesting conclusion applies to polymer injection followed by pure water injection. In this case the instability is transferred to the polymer-water interface, and th...
46 citations
TL;DR: In this article, the authors derived the dispersion relation and sharp bounds on the growth rate of the interfacial disturbances induced by mild perturbation of the permeability field for an optimal viscosity profile of the intermediate layer.
45 citations
TL;DR: In this article, a class of model equations that describe the bi-directional propagation of small amplitude long waves on the surface of shallow water is derived from two-dimensional potential flow equations at various orders of approximation in two small parameters, namely the amplitude parameter a ¼ a=h0 and wavelength parameter b ¼ð h0=lÞ 2, where a and l are the actual amplitude and wavelength of the surface wave, and h 0 is the height of the undisturbed water surface from the flat bottom topography.
43 citations
TL;DR: A numerical method is provided and explored numerically for the construction of quasiconformal mappings using the Beltrami equation and the effect of dilatations on the Jacobian of the mappings which controls what is known as the crowding phenomenon in the literature.
40 citations
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TL;DR: To the best of our knowledge, there is only one application of mathematical modelling to face recognition as mentioned in this paper, and it is a face recognition problem that scarcely clamoured for attention before the computer age but, having surfaced, has attracted the attention of some fine minds.
Abstract: to be done in this area. Face recognition is a problem that scarcely clamoured for attention before the computer age but, having surfaced, has involved a wide range of techniques and has attracted the attention of some fine minds (David Mumford was a Fields Medallist in 1974). This singular application of mathematical modelling to a messy applied problem of obvious utility and importance but with no unique solution is a pretty one to share with students: perhaps, returning to the source of our opening quotation, we may invert Duncan's earlier observation, 'There is an art to find the mind's construction in the face!'.
3,015 citations
TL;DR: In this paper, a method to simulate unsteady multi-fluid flows in which a sharp interface or a front separates incompressible fluids of different density and viscosity is described.
2,340 citations
01 Jan 1937
1,390 citations
1,242 citations
01 Nov 1997
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Abstract: Recognizing the mannerism ways to get this books computer organization and design the hardware software interface 4th fourth edition by patterson hennessy is additionally useful. You have remained in right site to begin getting this info. acquire the computer organization and design the hardware software interface 4th fourth edition by patterson hennessy join that we manage to pay for here and check out the link.
832 citations