
Benchmark results for a 3D liddriven cavity of size 1x1x2
My research interests can be summarized as follows.
Research Interests:
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
Separation of 21 336 particles in a viscous liquid (direct simulation).
A single bubble at low Weber number.
Fluidized bed of 14,000 particles in a viscous liquid (direct simulation).
P. Minev, P. Vabishchevich, An operatorsplitting scheme for the stream function–vorticity formulation of the unsteady Navier–Stokes equations. J. Computational and Applied Mathematics, in press.
S. Madhavan, Y. Y. AlJahmany, P. D. Minev, and K. Nandakumar, On the transition to 3D modes for channel flow past a square cylinder. Canadian J. Chem. Eng., 92 (2014), 21222137.
T. Gornak, O. Iliev, P. Minev, A. Zemitis, A fast algorithm for 3D simulation of thermal stratification in containment pools of nuclear power plants. Computers&Mathematics with Applications, 67 (2014), 22282239.
T. Gornak, J.L. Guermond, O. Iliev, and P. Minev, A direction splitting approach for incompressible Brinkman flow. Int. J. Numer. Analysis Modeling, 4 (2013), 113.
J. Keating, P. Minev, A Fast Algorithm for Direct Simulation of Particulate Flows Using Conforming Grids. J. Comp. Phys. 255 (2013), 486501.
J.L. Guermond, P. Minev, A. Salgado, Convergence Analysis of a Class of Massively Parallel Direction Splitting Algorithms for the NavierStokes Equations in Simple Domains. Math. Comp., 81 (2012), 19511977.
R.C. Marinez, A. Roshchenko, W.H. Finlay, P. D. Minev, Simulation of Enhanced Deposition due to Magnetic Field Alignment of Ellipsoidal Particles in a Lung Bifurcation. Journal of Aerosol Medicine and Pulmonary Drug Delivery, 25 (2012).
Ph. Angot, J. Keating, P. Minev, A Direction Splitting Algorithm for Incompressible Flow in Complex Geometries. Comp. Meth. Appl. Mech. Engng. 217 (2012), 111120.
J.L. Guermond and P. Minev, Startup flow in a threedimensional liddriven cavity by means of a massively parallel direction splitting algorithm. Int. J. Numer. Meth Fluids, 68 (2012), 856–871.
A. Roshchenko, W.H. Finlay, P. D. Minev, The Aerodynamic Behaviour of Fibers in a Linear Shear Flow. Aerosol Sci. Tech., 45 (2011), 12601271.
J.L. Guermond and P. Minev, A new class of massively parallel direction splitting for the incompressible NavierStokes equations. Comp. Meth. Appl. Mech. Engng., 200 (2011), 20832093.
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 NavierStokes equations using direction splitting. Compt. Rend. Acad. Sci., Mathematique, 348 (2010), 581585.
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), 190196.
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), 21592171.
A. Dechaume, W. H. Finlay, P. D. Minev, A twogrid fictitious domain method for direct simulation of flows involving noninteracting particles of a very small size. Int. J. Numer. Meth Fluids, 63 (2010), 12411255.
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), 427437.
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), 155172.
C. Veeramani, P. Minev, and K. Nandakumar, Collision modeling between two nonBrownian particles in multiphase flow. Int. J. Thermal Sci., 48 (2009), 226233.
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), 273279.
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), 307317.
B. Bejanov, J.L. Guermond and P.D. Minev, A gridalignment finite element technique for incompressible multicomponent flows. J. Comp. Phys., 227, 2008, 64736489.
S. Margenov and P. Minev, On a MIC(0) preconditioning of nonconforming mixed FEM elliptic problems. Mathematics and Computers in Simulation, 76, 2007, 149154.
C. Veeramani, P. Minev, and K. Nandakumar, A fictitious domain formulation for flows with rigid particles: A nonLagrange multiplier version. J. Comp. Phys., 224, 2007, 867879.
J.L. Guermond, P. Minev and J. Shen, An Overview of Projection methods for incompressible flows. Comp. Meth. Appl. Mech. Engng., 195, 2006, 60116045.
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, 455466.
B. Bejanov, J.L. Guermond and P. Minev, A locally DVIfree projection scheme for incompressible flow based on nonconforming finite elements. Int. J. Numer. Meth. Fluids, 49, 2005, 549568.
J.L. Guermond, P. Minev and J. Shen, Error analysis of pressurecorrection schemes for the NavierStokes equations with open boundary conditions. SIAM J. Numer. Anal. 43, 2005, 239258.
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, 119.
C. Caia and P. Minev, A finite element method for an averaged multiphase flow model. Int. J. CFD, 18, 2004, 111123.
C. DiazGoano, P. Minev and K. Nandakumar, A fictitious domain/finite element method for particulate flows. J. Comp. Phys., 192, 2003, 105123.
P. Minev, T. Chen and K. Nandakumar, A finite element technique for multifluid incompressible flow using Eulerian grids. J. Comp. Phys., 187, 2003, 255273.
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, 709731
J.L. Guermond and P. Minev, Analysis of a projection/characteristic scheme for incompressible flow. Comm. Numer. Meth. Engng., 19, 2003, 535550.
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, 517536.
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