Home Page of Minev, P.D.

Peter D. Minev, Professor

Department of Mathematical and Statistical Sciences
677 Central Academic Building
University of Alberta
Edmonton
Canada, T6G 2G1

Phone: (780)-492-3398
Fax: (780)-492-6826
E-Mail: minev@ualberta.ca

Education:

MSc (Sofia, Bulgaria)
PhD(Sofia, Bulgaria)

Area of Specialization:

Large scale computing for problems in science and engineering. It includes the development, analysis and implementation of numerical algorithms for the incompressible Navier-Stokes equations, average multiphase flow models, free boundary problems, fluid-structure interaction and non-isothermal flows. For this I have used different type of discretization methods for PDE's including the finite element method, spectral and spectral element methods, as well as a variety of time-discretization techniques for the convection-diffusion and Navier-Stokes equations. These include different projection methods for the generalized Stokes problem, Lagrangian and explicit methods for convection integration. Furthermore, I have a long experience in numerical simulation of different complex engineering problems.

My research interests can be summarized as follows.

Research Interests:

Fictitious domain methods for fluid-structure interaction problems.
Finite element methods for free boundary problems.
Finite element, spectral and spectral element methods for fluid flow and heat transfer problems.
Lagrangian and Eulerian-Lagrangian algorithms using finite elements.
Projection methods for the incompressible Navier-Stokes equations.
Numerical methods for MHD.
Preconditioned iterative methods for linear algebraic systems.
DNS/LES of transition to turbulence in free and forced convection flows.
Mathematical modelling of multiphase flows.
Scientific computing/supercomputing; parallel algorithms for the finite element method.

For my CV and list of publications look here.

Here is also a collection of nice movies from our numerical simulations

This is a development of a shear layer instability.

This is a simulation of the sedimentation of two

or three spheres.

64 spheres at Re=100,

and at Re=1.

Separation of 21 336 particles in a viscous liquid (direct simulation).

A single bubble at low Weber number.

Recent Publications

S. Jin, P. Minev, K. Nandakumar, A scalable parallel algorithm for the direct numerical simulation three dimensional incompressible particulate flow. Int. J. CFD, 23 (2009), 427-437.

M.-H. Wang, C. Huang, K. Nandakumar, P. Minev, J. Luo, S. Chiovelli, CFD modeling and experimental study of erosion in slurry jet flows. Int. J. CFD, 23 (2009), 155-172.

C. Veeramani, P. Minev, and K. Nandakumar, Collision modeling between two non-Brownian particles in multiphase flow. Int. J. Thermal Sci., 48 (2009), 226-233.

P. Minev, Remarks on the links between low order DG methods and some finite difference schemes for the Stokes problem. Int. J. Numer. Meth. Fluids., 58 (2008), 307-317.

B. Bejanov, J.L. Guermond and P.D. Minev, A grid-alignment finite element technique for incompressible multicomponent flows. J. Comp. Phys., 227, 2008, 6473-6489.

S. Margenov and P. Minev, On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems. Mathematics and Computers in Simulation, 76, 2007, 149-154.

C. Veeramani, P. Minev, and K. Nandakumar, A fictitious domain formulation for flows with rigid particles: A non-Lagrange multiplier version. J. Comp. Phys., 224, 2007, 867-879.

J.-L. Guermond, P. Minev and J. Shen, An Overview of Projection methods for incompressible flows. Comp. Meth. Appl. Mech. Engng., 195, 2006, 6011-6045.

T. Chen, P. Minev and K. Nandakumar, A projection scheme for incompressible multiphase flow using adaptive Eulerian grids: 3D validation. Int. J. Numer. Meth. Fluids, 48, 2005, 455-466.

B. Bejanov, J.-L. Guermond and P. Minev, A locally DVI-free projection scheme for incompressible flow based on non-conforming finite elements. Int. J. Numer. Meth. Fluids, 49, 2005, 549-568.

J.-L. Guermond, P. Minev and J. Shen, Error analysis of pressure-correction schemes for the Navier-Stokes equations with open boundary conditions. SIAM J. Numer. Anal. 43, 2005, 239-258.

T. Chen, P. Minev and K. Nandakumar, A projection scheme for incompressible multiphase flow using adaptive Eulerian grids. Int. J. Numer. Meth. Fluids, 45, 2004, 1-19.

C. Caia and P. Minev, A finite element method for an averaged multiphase flow model. Int. J. CFD, 18, 2004, 111-123.

C. Diaz-Goano, P. Minev and K. Nandakumar, A fictitious domain/finite element method for particulate flows. J. Comp. Phys., 192, 2003, 105-123.

P. Minev, T. Chen and K. Nandakumar, A finite element technique for multifluid incompressible flow using Eulerian grids. J. Comp. Phys., 187, 2003, 255-273.

J.-L. Guermond and P. Minev, Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 3D case. Numer. Meth. PDE's, 19, 2003, 709-731

J.-L. Guermond and P. Minev, Analysis of a projection/characteristic scheme for incompressible flow. Comm. Numer. Meth. Engng., 19, 2003, 535-550.

J.-L. Guermond and P. Minev, Mixed finite element approximation of an MHD problem involving conducting and insulating regions: the 2D case. Math. Model. and Numer. Anal. (M^2AN), 36, 2002, 517-536.

You are visitor number since April 5, 2000.
You can see the last 20 users