
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 and R. Usubov, Splitting schemes for the stress formulation of fluidstructure interaction problems. In print in: Applications in Engineering Science.
Q. Feng, B. Han, and P. Minev, Sixth order compact finite difference schemes for Poisson interface problems with singular sources, Computers & Mathematics with Applications, 99 (2021), 225.
R. Frolov, P. Minev, and A. Takhirov, A direction splitting scheme for NavierStokes Boussinesq system in spherical shell geometries. Int. J. Numer. Meth. Fluids 93 (2021), 35073523.
R. Frolov, P. Minev, and A. Takhirov, An efficient algorithm for weakly compressible flows in spherical geometries. Int. J. Numer. Meth. Fluids 93 (2021), 13591377.
A. Jarauta, V. Zingan, P. Minev, and M. Secanell, A compressible fluid flow model coupling channel and porous media flows and its application to fuel cell materials. Transport in Porous Media 134 (2020), 351386
V. Calo, P. Minev, and V. Puzyrev, Splitting schemes for phasefield equations. Appl. Numer. Math., 156 (2020), 192209.
P. Minev, S. Srinivasan, and P. Vabishchevich, Flux formulation of parabolic equations with highly heterogeneous coefficients, J. Computational and Applied Mathematics, 340 (2018), 582601.
P. Minev and P. Vabishchevich, Splitting schemes for the stress formulation of the incompressible NavierStokes equations, J. Computational and Applied Mathematics}, 344 (2018), 807818.
P. Minev and P. Vabishchevich, Splitting schemes for unsteady problems involving the graddiv operator, Applied Numerical Mathematics, 124 (2018), 130139.
J.L. Guermond and P. Minev, Highorder time stepping for the incompressible Navier Stokes equations. SIAM J. Sci. Comput., 37 (2015), A2656A2681.
A. Roshchenko, P. Minev and W.H. Finlay, A Time Splitting Fictitious Domain Algorithm for FluidStructure Interaction Problems . J. Fluids and Structures, 58 (2015), 109– 126.
P. Minev, P. Vabishchevich, An operatorsplitting scheme for the stream function–vorticity formulation of the unsteady Navier–Stokes equations. J. Computational and Applied Mathematics, 293 (2014), 147–163.
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.
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