Course Outline

Day 1: Governing Equations and Numerical Methods
Day 2: Gas Particle and Gas-Liquid Flows
Day 3: Gas-liquid flows


Fee: $300.00 - Participation fee

The fee for the course covers instructional material costs, break refreshments, and lunch each day. All fees must be paid in advance at least two weeks before the start of the course. Pay by credit card, check, money order, or request to bill employer.
Introduction to Computational Techniques for Multiphase Flows

Introduction to Computational Techniques for Multiphase Flows

An introductory 3-Day course covering gas-particle and gas-liquid flows

July 17 - 19, 2017
I-Hotel, Champaign, IL, USA


Multiphase flows are encountered in a wide variety of industries including nuclear, aerospace, chemical, mechanical and biological engineering. Multiphase flows may involve gas-solid mixtures, gas-liquid mixtures and liquid-liquid mixtures. Based on the nature of the flow, a variety of computational techniques have been developed. These include Eulerian-Lagrangian methods for dilute dispersed flows including two-way coupling, Eulerian-Eulerian techniques with interface capturing and Eulerian-Eulerian methods for volume-averaged equations. The techniques for interface capturing include Volume of Fluid (VOF), Level-Sets (LS), and Front Tracking (FT).

This course will introduce the various techniques for multiphase flows by experts who have directly developed and implemented such techniques. Our intent is to give as many details as possible, and describe their implementation in a model Navier-Stokes solver for two-dimensional flows. The course is divided into three days, beginning with the governing equations and volume averaging of the phasic equations of a mixture. The modeling of the interphase coupling terms is discussed with their assessment in some complex flows. Day 2 will cover the computation of dilute gas particle flows and introduce front tracking algorithm for gas liquid flows. Day 3 will be devoted to other interface tracking algorithms including VOF, LS and coupled VOF and LS algorithms, followed by brief introduction to Eulerian-Eulerian techniques.


  • Introduce the basic equations of two-phase flow formulations
  • Discuss solution methods for dilute gas particle flows
  • Discuss techniques for gas liquid flows with interface capturing using VOF, level-sets, and front tracking methods
  • Discuss Eulerian-Eulerian techniques for gas-liquid and gas-particle flows using volume-averaged techniques
  • Provide examples of multiphase flow computations from lecturer’s research groups


Who Should Attend

This course is intended for those who wish to understand the basic numerical methods for multiphase flows. The course is suitable for both postgraduate students and engineers and scientists in industry and government. Students with an engineering or mathematical background should have no difficulty in grasping the underlying principles of the methods and their applications to various fields.

Course Instructors

 Pratap Vanka
Pratap Vanka
 Gretar Tryggvason
Gretar Tryggvason
 Farzad Mashayek
Farzad Mashayek
 Caleb Brooks
Caleb Brooks

University of Illinois at Urbana-Champaign
Pratap Vanka is Professor Emeritus and Research Professor in the Department of Mechanical Science and Engineering. He has pioneered several numerical algorithms including multigrid methods, Lattice Boltzmann methods, meshless techniques, GPU computing, and partially-parabolic methods. He has taught a graduate level CFD course at University of Illinois for 25 years, and continues to teach that course after taking Emeritus status. He is passionate about developing codes for CFD and heat transfer, and has developed more than 25 research level CFD codes since his graduate research at Imperial College. He worked for his Ph. D. with Professor D. B. Spalding (late), a pioneer in computational fluid dynamics and computational heat transfer. Pratap Vanka has published close to 170 papers in journals and reviewed technical conferences. He has received both teaching and research awards. He is a Life Fellow of ASME, and Associate Fellow of AIAA, and recipient of the ASME Freeman Scholar lecture award.