Numerical and Theoretical Modeling of Complex Fluid Flows

Project: Research project

Project Details


Numerical and Theoretical Modeling of Complex Fluid Flows Numerical and theoretical modeling of complex fluid flows In this project we propose to develop and synthesize numerical and theoretical methods for studying complex fluid flows under a broad range of conditions. The project has three parts: (1) rigorous theoretical analysis of Euler equations, including topology of vortical structures and their relations with symmetries and invariants of the dynamics; 2D NavierStokes equations for an incompressible fluid. Nonlinear stability for Couette, Poiseulle and ReynoldsKolmogorovs plane channel flows with nosleep conditions based on the theory of a dissipative top in a quasicompact Lee algebra. (2) Numerical modeling of the nonlinear dynamics of the unstable interface separating two immiscible fluids with account for the effects of molecular viscosity, surface tension, unsteady acceleration, and broadband initial perturbations; intense benchmarking of the numerical code. (3) Numerical modeling of 3D NavierStokes equations for gas and fluid, including unsteady pipeline flow simulation, pipeline oil transportation with Blasius or Colebrook-White laws for friction coefficient in turbulent pipe flow, and with account for anti-turbulent additives. We are motivated by the intellectual challenges associated with the numerical modeling and theoretical analysis aspects of the problem, and by the necessity to build up advanced computational and mathematical tools that are needed to describe, simulate, and reliably predict the complex interfacial process, and to further apply this expertise to realistic aerodynamic, environmental and industrial problems. The project is directly relevant to QNRF mission and goals, as it may serve to advance predictive modeling capabilities of the realistic gas and oil flows in the Gulf.
Effective start/end date9/1/152/28/16


  • OTHER: Foreign Other: $269,881.00


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