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:

Courses taught this term

Benchmark results for a 3D lid-driven cavity of size 1x1x2

Area of Specialization:

• 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 take a 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

J.L. Guermond, P. Minev, A. Salgado, Convergence Analysis of a Class of Massively Parallel Direction Splitting Algorithms for the Navier-Stokes Equations in simple Domains. Math. Comp. In print.

Ph. Angot, J. Keating, P. Minev, A Direction Splitting Algorithm for Incompressible Flow in Complex Geometries. Comp. Meth. Appl. Mech. Engng. 217 (2012), 111--120.

A. Roshchenko, W.H. Finlay, P. D. Minev, The Aerodynamic Behaviour of Fibers in a Linear Shear Flow. Aerosol Sci. Tech., 45 (2011), 1260-1271.

J.L. Guermond and P. Minev, Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Int. J. Numer. Meth Fluids, 68 (2012), 856–-871.

J.L. Guermond and P. Minev, A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Comp. Meth. Appl. Mech. Engng., 200 (2011), 2083--2093.

R Reddy, S Jin, K Nandakumar, PD Minev and J Joshi, DNS simulations of freely falling spheres: Effect of the surrounding particles on the settling velocity and drag coefficient. Int. J. CFD, 24 (2010) , 109 - 120.

JL Guermond and PD Minev, A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting. Compt. Rend. Acad. Sci., Mathematique, 348 (2010), 581-585.

C Huang, PD Minev, J Luo and K Nandakumar, A phenomenological model for erosion of material in a horizontal slurry pipeline flow. Wear, 269 (2010), 190-196.

R.K. Reddy, J.B. Joshi, K. Nandakumar, P. D. Minev, Direct numerical simulations of a freely falling sphere using fictitious domain method: Breaking of axisymmetric wake . Chem. Eng. Sci., 65 (2010), 2159-2171.

A. Dechaume, W. H. Finlay, P. D. Minev, A two-grid fictitious domain method for direct simulation of flows involving non-interacting particles of a very small size. Int. J. Numer. Meth Fluids, 63 (2010), 1241-1255.

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.

C. Huang, S. Chiovelli, P. Minev, J. Luo, K. Nandakumar, A comprehensive phenomenological model for erosion of materials in jet flow. Powder Technology, 187 (2008), 273-279.

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.

Stuff for Mark.

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