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DNS of Wall-Bounded Turbulent Flows

A First Principle Approach

  • Covers the topic of DNS from first principles, while relating this to the canonical problem of transition over zero pressure gradient boundary layer
  • Emphasizes the new subject of boundary layer receptivity over the classical topic of instability approach
  • Identifies spatio-temporal wave fronts to explain fluid flow phenomenon of transition that is unique and very revealing on the mechanism of transition

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xlii
  2. DNS of Wall-Bounded Turbulent Flow: An Introduction

    • Tapan K. Sengupta, Swagata Bhaumik
    Pages 1-15
  3. DNS of Navier–Stokes Equation

    • Tapan K. Sengupta, Swagata Bhaumik
    Pages 17-120
  4. Receptivity and Instability

    • Tapan K. Sengupta, Swagata Bhaumik
    Pages 121-222
  5. Nonlinear Theoretical and Computational Analysis of Fluid Flows

    • Tapan K. Sengupta, Swagata Bhaumik
    Pages 223-274
  6. Dynamics of the Spatio-Temporal Wave-Front in 2D Framework

    • Tapan K. Sengupta, Swagata Bhaumik
    Pages 275-305
  7. 3D Routes of Transition to Turbulence by STWF

    • Tapan K. Sengupta, Swagata Bhaumik
    Pages 307-345
  8. Back Matter

    Pages 347-358

About this book


This book highlights by careful documentation of developments what led to tracking the growth of deterministic disturbances inside the shear layer from receptivity to fully developed turbulent flow stages. Associated theoretical and numerical developments are addressed from basic level so that an uninitiated reader can also follow the materials which lead to the solution of a long-standing problem. Solving Navier-Stokes equation by direct numerical simulation (DNS) from the first principle has been considered as one of the most challenging problems of understanding what causes transition to turbulence. Therefore, this book is a very useful addition to advanced CFD and advanced fluid mechanics courses.

Authors and Affiliations

  • Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur, India

    Tapan K. Sengupta

  • Department of Mechanical Engineering, Indian Institute of Technology Jammu, Jammu, Jammu & Kashmir, India

    Swagata Bhaumik

About the authors


Prof. Tapan K. Sengupta, Ph.D. (Georgia Tech.) has devoted all his time in research and teaching of transition and turbulence, apart from his interest in aerodynamics. To aid in these research areas, he has developed scientific computing for fluid flow and wave phenomenon for more than three decades. He has written four single-author books in these subjects, apart from editing two more volumes on transition and high performance computing. He has been a Senior Research Associate in Univ. of Cambridge, Senior Visiting Fellow in National Univ. of Singapore, Senior Associate of the International Centre of Theoretical Physics (ICTP) at Trieste, Italy, visiting IdeX Professor of Excellence at Univ. of Bordeaux, France, Fellow at Univ. of Cambridge, UK at Murray-Edwards College and Univ. Engg., Department. He has been the Regional Editor of Computers & Fluids (Elsevier), New York, USA. 


Dr. Swagata Bhaumik, PhD (IIT Kanpur, 2013) is currently visiting Assistant Professor, Department of Aerospace Engineering, IIT Kanpur. His PhD topic was: “Direct Numerical Simulation of Transitional and Turbulent Flows”, where he used his own developed high-accuracy 3D incompressible Navier-Stokes solver to investigate and characterize the dynamics of spatio-temporal wave-front and its role in causing flow transition. From 2014 to 2016 he was a Post-Doctoral researcher in the Ohio State University where he worked on the prediction and estimation of perfectly- and imperfectly-expanded jet noise. He has a Master’s degree in Aerospace Engineering (Aerodynamics) from IIT Kharagpur (2007) and a Batchelor’s degree in Mechanical Engineering from NIT Rourkela (2001).

Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access