Interfacial dynamics in complex fluids presents tremendous challenges to science. From a fluid mechanical viewpoint, the essential physics is the coupling between interfacial movement and the flow of the bulk fluids. Phase field (diffuse-interface) methods start from a multi-scale point of view and treat the interface as a microscopic transition zone of small but finite width. Then a set of governing equations can be derived that are thermodynamically consistent and mathematically well-posed. This principle is very powerful and flexible. It has been applied successfully to describe complicated interfaces in various complex fluids. Well designed numerical methods with the diffuse-interface approach can be highly robust and accurate, as long as the interface is well resolved. Phase field methods are now widely used in many branches of science and engineering, such as the material science, biomedical science, biology, chemical engineering. This workshop will bring together numerical analysts and computational scientists working on phase field methods to present their recent advances in algorithm designs and applications of phase field methods. The main purposes of this workshop are to review the current status, identify problems and future directions, and to promote phase field methods to a wider scientific and engineering community. Topics of the presentations will include modeling, numerical analysis and simulation.

The Workshop will take place at Amphi H  of ENSEIRB-MATMECA

Monday, January 06th at 2pm, Professor Jie SHEN from  Purdue University will give a course entitled

 Efficient and accurate numerical methods for phase field models.  

The course will take place at  Amphi H de l'ENSEIRB-MMK

Abstract :   The course will present a general framework to construct efficient and accurate numerical methods for  some popular phase field models, including in particular Allen-Cahn equations, Cahn-Hilliard equations, Navier-Stokes Cahn-Hilliard system for two phase incompressible flows, etc.

The workshop is organized by

• Mejdi AZAIEZ : Bordeaux INP and I2M UMR 5295
• Mathieu COQUERELLE : Bordeaux INP and I2M UMR 5295
• Jie SHEN : Xiamen University and School of Mathematical Sciences 
• Chuanju XU : Xiamen University and School of Mathematical Sciences