**Invitation**

**Seminar – Department „Mathematical Modeling and Numerical Simulations in Mechanics“**

October 8, 2019 /Tuesday/, 14.00, hall 200, Institute of Mechanics-BAS

**Numerical methods for the investigation of transport processes in Microfluidics and their applications**

Authors:

Victor Eugen Ambruș (1) and Victor Sofonea (2,3)

1 - Department of Physics, West University of Timisoara, Bd. Vasile Parvan 4, RO - 300223 Timisoara, Romania

2 - Centre for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, RO - 300223 Timisoara, Romania

3 - Doctoral School of Physics, West University of Timisoara, Bd. Vasile Parvan 4, RO - 300223 Timisoara, Romania

Abstract:

In the first part of this seminar, we present a general overview on the finite difference lattice Boltzmann models based on Gauss quadratures. The objective of the LB models is to recover the evolution of the first few moments of the particle distribution function, e.g., the mass, momentum and energy densities. The homogeneous relaxation problem will be used to briefly illustrate the behavour of Lattice Boltzmann models of various orders.

The second part is dedicated to microfluidics applications. In the context of Couette flow between parallel plates, we validate our results by comparison to Direct Simulation Monte Carlo data in the nonlinear regime. Flows in curvilinear coordinates are implemented using the vielbein formalism, which allows the velocity space degrees of freedom to be defined independently of the underlying geometry. We illustrate the capabilities of this formalism in the context of the circular Couette flow, as well as of the flow through a gradually expanding channel.