Jean-Christophe Nave

Instructor of Applied Mathematics

Ph.D. UCSB 2004

Contact Information:

jcnave @ mit.edu

Massachusetts Institute of Technology

Department of Mathematics Office 2-363A

77 Massachusetts Avenue

Cambridge, MA 02139 - USA

Last Update: April 2^nd 2009

Publications

Numerical PDE Seminar

Background:

Ph.D. UCSB 2004.

Thesis title “Direct Numerical Simulation of Liquid Films”

Advisors: Sanjoy Banerjee and Xu-Dong Liu (In Memoriam)

Math Genealogy Project

Research Interests:

Numerical Analysis, Level Set Methods, Computational Fluid Dynamics, Multi-Component Flows, Turbulence, Interfacial Transfer Processes, Dynamical Systems, Complex Systems, Traffic Flow, Computer Graphics…

Projects:

[To watch the movies you may require the free DIVX codecs: Windows or Mac]

· Numerical Simulation of Liquid Films

· Bouncing Droplets on a Soap Films

· Level Set Methods

· Drops at a Liquid/Gas Interface

· Hydrophobic Solid Impact

· Geophysical Flows

· Elastic Solid / Fluid Interaction

· Non-Newtonian Fluids

· Traffic Flow

Teaching:

18.306 Partial Differential Equations (Grad. Level) (Spring ‘09)

18.336 Numerical Methods for Partial Differential Equations (Grad. Level) (Spring ‘08)

18.095 Mathematics Lecture Series (IAP Winter ‘08)

18.03 Differential Equations (Fall ’07)

18.336 Numerical Methods for Partial Differential Equations (Grad. Level) (Spring ‘07)

18.03 Differential Equations (Spring ‘06)

Upcoming and Recent Invited Talks:

Center for 21^st Century Energy (MIT) – 4-14-09

PDE Seminar Drexel University – 4-6-09

Applied Mathematics Colloquium (MIT dept. of Mathematics) – 2-23-09

UC Irvine Department of Mathematics – 1-30-09

UC Santa Barbara Center for Interdisciplinary Research in Fluid (CIRF) – 1-28-09

UC Berkeley Department of Mathematics – 11-5-08

UC Los Angeles Applied Mathematics Colloquium – 11-12-08

Gallery of Some Old and Recent Projects:

Bouncing on a Soap film

Experiments by J. Bush and T. Gilet

Fully 3D Navier-Stokes Simulations (2-phase flow) [Custom Volumetric Ray Tracing]

No-forcing, We=18 – Satellite drops Side View…

Gradient Augmented Level Set

With R. Rosales and B. Seibold

3D Zalesak’s Circle – WENO/RK3TVD (left) vs. Present method (right)

Resolution = 50x50x50

3D deformation field – WENO/RK3TVD (left) vs. Present method (right)

Resolution = 50x50x50

Partial Coalescence

Fully 3D Navier-Stokes Simulations (2-phase flow) [Custom Volumetric Ray Tracing]

Bouncing drops / Walking Drops

with B. Seibold and T. Gilet

PDB bouncing regime (periodic forcing)

Really a bouncing rod…

Walking regime (periodic forcing / more viscous bath)

Hydrophobic Solid Impact

with J. Aristoff, J. Bush

Skipping drops

Hybrid Lagrangian Solver for Complex Fluids in Complex Geometries

with A.F.Ghoniem

Unsteady Separation at Slip Time-Dependent Boundaries

With G. Haller and D. Burch

Direct Numerical Simulation of Liquid Films

with S. Banerjee and X. D. Liu

Falling liquid film – Re=30 – Onset of 3D

Bouncing, Skipping and Splashing Drops

with J. Bush

[Custom Ray Tracing]

Suspension, Pasty, Porous and Granular Flows

with A. Lemaitre and A. Hammouti

Coming Soon…

Traffic Flow

with M. Flynn, A. Kasimov, R.R. Rosales, and B. Seibold

Visit our traffic flow page for more information

Autonomous Navigation (Local, non-Optimal)

with H. Li

Automatic Shape Morphing

Two-Phase Lattice Boltzmann Methods

with S. Banerjee and K. Prenath

Awards and Support:

NSF (2008-2011) NSF grant DMS-0813648, “Capturing subgrid structures with level set methods”, with Ruben Rosales and Benjamin Seibold

MIT-France Collaboration Grant (2007-2008)

US Office of Naval Research (2005-2006)

US Department of Energy (2001-2004)

NASA (1999-2001)

Presidential Research Award

Undergraduate Research Award

Mathematics Achievement Award

Collaborators Pages:

Marie Farge ENS-Ulm

Yossi Farjoun MIT

Morris Flynn U. of Alberta

Aslan Kasimov MIT

Avshalom Manela MIT

Kai Schneider U. of Marseilles

Benjamin Seibold MIT