Sourav Dutta

 Sourav Dutta

Sourav Dutta

  • Courses1
  • Reviews2

Biography

Texas A&M University College Station - Mathematics


Resume

  • 2010

    Doctor of Philosophy (Ph.D.)

    Working towards my PhD dissertation under the direction of Dr. Prabir Daripa. Also

    Founding member and President of the SIAM Student Chapter at Texas A&M and the Math Department Delegate to the Graduate & Professional Student Council of Texas A&M.

    Applied Mathematics

    Society of Industrial and Applied Mathematics - SIAM

    American Mathematical Society - AMS

    Statistical and Applied Mathematical Sciences Institute - SAMSI

    Texas A&M University

  • 2005

    Integrated M.Sc.

    Mathematics & Computing

    Member(2005-10)/ Governor(2007-08) of BTDS (Bengali Dramatics Society)

    \nHall Council of RP Hall (2006-07)

    \nMusic Team

    \nDramatics Team

    \nElocution Team.

    Indian Institute of Technology

    Kharagpur

    Stochastic Processes

    Discrete Mathematics

    Hydrodynamic Stability

    Numerical Analysis

    Numerical Solution of ODE and PDE

    Topology

    Partial Differential Equations

    Transform Calculus

    Differential Geometry

    Real Analysis

    Conservation Laws

    Operations Research

    Advanced PDE theory

    Complex Analysis

  • 2003

    WBCHSE(XII) -2005

    MATH

    PHY

    CH

    STAT

    ENG

    BENG

    South Point

  • Waterflood simulation on strongly channelised SPE10 permeability data

    Numerical simulation of waterflooding a quarter five-spot pattern oil reservoir using a new hybrid method. The model uses a new global pressure formulation for incompressible

    multicomponent two-phase fluid flows. The numerical method is based on a combination of a discontinuous FEM and a Method of Characteristics based FDM.

    Waterflood simulation on strongly channelised SPE10 permeability data

    Comparison of EOR flooding schemes

    Comparison of numerical simulations of water flood

    polymer flood

    surfactant flood and surfactant-polymer flood. These are 4 main flooding schemes used in chemical Enhanced Oil Recovery (EOR). The simulations are done on a 2D highly heterogeneous Upper Ness type permeability field extracted from the SPE10 dataset.

    Comparison of EOR flooding schemes in a quarter five-spot geometry

    The Big Event at Texas A&M University

    Volunteer for Pi Day of the Century celebrations

    Volunteered for the Pi Day of the Century celebrations at the Mathematics Department of Texas A&M. It was a huge event organized especially for children and young adults of the community to raise awareness about science and to inculcate a passion for mathematics. I was also a judge for events like the Pi digits memorization contest.

    Department of Mathematics

    Texas A&M University

    Mathematica

    Algorithms

    Numerical Analysis

    Matlab

    Multiphase Flow

    Fluid Dynamics

    Mathematical Modeling

    Partial Differential Equations

    Simulations

    Numerical Simulation

    Statistics

    Optimization

    Fluid Mechanics

    LaTeX

    Image Processing

    Modeling

    C

    Applied Mathematics

    Unix

    COMSOL

    Optimization of a managed aquifer recharge network

    E.W. Jenkins

    S.E. Howington

    K.R. Fowler

    J. C. Chrispell

    Proceedings of the 2014 South Carolina Water Resources Conference

    Over the last few decades

    groundwater resources in many regions have been depleted at a faster rate than the underlying aquifers have been replenished. This imbalance has led water management agencies to consider managed aquifer recharge networks

    where infiltration basins are used to replenish the aquifers using previously-uncaptured storm water runoff. In this work

    we utilize optimization to evaluate the costs associated with constructing such a network and the ability of the network to meet demands placed on the aquifer. Our objective function incorporates land and construction costs

    along with rewards for effective aquifer recharge. We enforce capture of a minimum volume of storm water runoff by penalizing the cost. We present results for two\nbasin networks

    one based on results from the literature and another based on a study of the Pajaro Valley region in California. The Pajaro Valley example is used as our realistic test case

    and we use the analysis to suggest the viability of a managed aquifer recharge network in a particular sub-watershed associated with the area.

    Optimization of a managed aquifer recharge network

    Prabir Daripa

    Journal of Computational Physics

    Chemical enhanced oil recovery by surfactant-polymer (SP) flooding has been studied in two space dimensions. A new global pressure for incompressible

    immiscible

    multicomponent two-phase porous media flow has been derived in the context of SP flooding. This has been used to formulate a system of flow equations that incorporates the effect of capillary pressure and also the effect of polymer and surfactant on viscosity

    interfacial tension and relative permeabilities of the two phases. The coupled system of equations for pressure

    water saturation

    polymer concentration and surfactant concentration has been solved using a new hybrid method in which the elliptic global pressure equation is solved using a discontinuous finite element method and the transport equations for water saturation and concentrations of the components are solved by a Modified Method Of Characteristics (MMOC) in the multicomponent setting. Numerical simulations have been performed to validate the method

    both qualitatively and quantitatively

    and to evaluate the relative performance of the various flooding schemes for several different heterogeneous reservoirs.

    Modeling and simulation of surfactant polymer flooding using a new hybrid method

    In this article

    the convergence of a hybrid numerical method introduced in Daripa & Dutta (2017) has been established. This method integrates a discontinuous finite element method with a modified method of characteristics (MMOC) in combination with finite difference (FD) procedures

    and has been successfully applied to solve a coupled system of nonlinear equations that arises in multicomponent two-phase porous media flows. The present convergence analysis is focused on the MMOC-FD procedure for a nonlinear system of transport equations. For this purpose

    an analogous single-component system of transport equations has been considered and some key ideas for possible extension to multicomponent systems have been briefly discussed. Error estimates have been obtained and these estimates have also been shown to be consistent with realistic numerical simulations of flows arising in enhanced oil recovery processes.

    On the convergence analysis of a hybrid numerical method for multicomponent transport in porous media

    Optimal design of a managed aquifer recharge network for the Pajaro Valley in California.

    Dutta

    I am a Postdoctoral Fellow at U.S. Army Engineer Research and Development Center (ERDC). I did a PhD in Applied Mathematics from Texas A&M University. \n\nMy current research focuses on Model Order Reduction techniques for various complex fluid flow problems. I am also interested in Modelling and Analysis of fluid flow in porous media. I have expertise in numerical simulations of multiphase

    multicomponent fluid flows which are described by coupled nonlinear advection-diffusion systems of PDEs and pose several analytical and computational challenges.\n

    Sourav

    SAMSI

    Texas A&M University

    University of Bremen

    Indian Institute of Technology

    Kharagpur

    U.S. Army Engineer Research and Development Center (ERDC)

    Co-founded and served as the President of the Texas A&M University Chapter of SIAM (Society for Industrial and Applied Mathematics). \n\n1) Organized several research seminars and social events to facilitate interaction among graduate students interested in applied mathematics. \n\n2) Co-organized the first visit of Dr. Cleve Moler

    the creator of MATLAB and co-founder of MathWorks

    to Texas A&M. Organized a workshop on \"Scientific Computing with MATLAB at Texas A&M\". Authored an article on this visit for SIAM News. (https://sinews.siam.org/DetailsPage/TabId/900/ArtMID/2243/ArticleID/783/MATLAB-Creator-Cleve-Moler-Visits-Texas-AM-University.aspx)\n\n3) Initiated and co-organized the Industrial and Applied Math Seminar of the Math Department from Spring 2016.

    President

    Bryan/College Station

    Texas Area

    Texas A&M University Chapter of SIAM

    College Station

    Texas

    Thesis Advisor: Dr. Prabir Daripa\n\nI worked on development and implementation of an efficient model to solve a coupled system\nof variable-coefficient

    elliptic and parabolic partial differential equations. The problem also involves the time-space evolution of an interface with discontinuity across it. \nThe model has specific application in the field of chemical enhanced oil recovery techniques like surfactant-polymer flooding. In this case

    we model the effect of polymer and surfactant on the capillary pressure and the interfacial tension between the fluids and also on rock-fluid properties like residual saturation and relative permeability. The coupled system of nonlinear equations is solved using a modern

    hybrid method that combines a non-traditional discontinuous finite element method and an implicit-time finite difference method based on the modified method of characteristics.

    PhD Student

    Texas A&M University

    Participated in a 10-day workshop organized by SAMSI at North Carolina State University. Worked on the problem of \"Optimization and Analysis of a Managed Aquifer Recharge Network\"

    which was presented to us by Dr. Matthew Farthing (US Army Corps of Engineers ERDC) and Dr. Eleanor Jenkins(Clemson University).

    Industrial Mathematical and Statistical Modeling Workshop

    Raleigh-Durham

    North Carolina Area

    SAMSI

    Topic : Lid-driven Cavity problem (Dr. G.P. RajaSekhar)\nSpecial case of the Lid-Driven Cavity problem

    when the cavity is filled with a porous material

    either partially or fully.Developed and studied a new single-domain approach to solve the governing equations (Navier-Stokes and Darcy) with a high-order nine-point finite difference scheme.\n\nTopic : Oscillatory flow around a spherical porous pellet (Dr. G.P. RajaSekhar)\nNumerical simulations of convection

    diffusion and reaction in a spherical porous pellet in presence of oscillatory flow where the reaction follows isothermal first order kinetics.\n\nCode developed in both MATLAB and C.

    Integrated M.Sc.

    Math & Computing

    Kharagpur Area

    India

    Indian Institute of Technology

    Kharagpur

    Bryan/College Station

    Texas Area

    Duties: \n1) Instructor of Record for MATH 166 (Fall 2015)\n Taught a class of 63 undergraduate students and received excellent evaluations.\n2) Led a preparatory class for graduate students appearing for the Complex Analysis qualifying exam in Summer 2014.\n3) Recitation

    grading

    help sessions and Lab sessions for various undergraduate and graduate courses.

    Graduate Teaching Assistant

    Texas A&M University

    Vicksburg

    Postdoctoral Fellow

    U.S. Army Engineer Research and Development Center (ERDC)

    Bremen

    Germany

    Center of Industrial Mathematics

    ZeTeM.\n\nTopics: a) Numerical simulations of diffusion process in a porous medium through periodic homogenization

    \nb) Parametric study of the influence of micro-structure geometry on the rate and nature of diffusion

    \nc) Numerical simulations of diffusion-reaction process in a porous medium with time evolving\nmicro-structure geometry

    \nd) Specific applications in carbonation of a layer of concrete

    \n\nExperience: Worked with COMSOL Multiphysics.

    Research Intern

    University of Bremen

    Society of Industrial and Applied Mathematics

    American Mathematical Society

    Statistical and Applied Mathematical Sciences Institute

    Mathematics Department Delegate

    Graduate & Professional Student Council

    Texas A&M

    Founded and served as the President of the Texas A&M University Student Chapter of SIAM (Society for Industrial and Applied Mathematics) from August 2015 - July 2016.

    President

    Texas A&M University Chapter of SIAM

    English

    Regional Mathematics Olympiad

    Finished among the top 10 in the Regional Mathematics Olympiad (RMO 2003) for Eastern India and appeared in the Indian National Mathematics Olympiad (INMO 2004).

    2nd place for Oral Presentation

    Awarded 2nd place for Oral Presentation by a graduate student in the subject area of Math

    Statistics and Computer Science at the Student Research Week 2016. It is the annual research showcase event for undergraduate and graduate students at Texas A&M University.

    Student Research Week 2016

    Texas A&M University

    L. F. Guseman Prize in Mathematics

    Awarded every year by the Department of Mathematics of Texas A&M to two graduate students for outstanding achievement in research

    teaching or service.

    Department of Mathematics

    Texas A&M University

    SIAM Student Travel Award

    Awarded the Student Travel Award for giving both an oral and a poster presentation at the SIAM Annual Meeting 2016 in Boston

    USA between July 11-15.

    Society for Industrial and Applied Mathematics

    SIAM Student Chapter Certificate of Recognition

    Awarded for outstanding efforts and accomplishments on behalf of the SIAM Chapter at Texas A&M University.

    Society for Industrial and Applied Mathematics

MATH 166

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