Department of Mechanical Engineering • MNIT Jaipur

Dr. Manish Kumar

Assistant Professor, Department of Mechanical Engineering, MNIT Jaipur

Signature Research Specialization

Pioneering advanced numerical algorithms in Computational Fluid Dynamics (CFD), specifically the Sharp Interface Immersed Boundary Method (IBM) for moving/deformable boundaries, cut-cell mass conservation, and high-performance parallel computing.

Explore Research & CFD Publications (35) Supervision & Projects

Correspondence: manish.aspiring@gmail.com • manish.mech@mnit.ac.in

Department of Mechanical Engineering MNIT Jaipur • Ph.D. IIT Patna

Academic Profile & Background

Biography & Research Trajectory

Specializing in Computational Fluid Dynamics, numerical heat transfer, immersed boundary methods, and high-performance scientific computing.

Research Trajectory

Dr. Manish Kumar is an Assistant Professor in the Department of Mechanical Engineering at Malaviya National Institute of Technology (MNIT) Jaipur. He earned his Ph.D. in Mechanical Engineering from the Indian Institute of Technology Patna (IIT Patna) in 2016, where his doctoral thesis pioneered rigorous numerical methodologies for Sharp Interface Immersed Boundary Methods (IBM) applied to moving and deformable boundaries in incompressible viscous flows.

His research lies at the intersection of Computational Fluid Dynamics (CFD), High-Performance Computing (HPC), and applied thermal-fluid engineering. Dr. Kumar has made seminal contributions to resolving spurious pressure oscillations and mass conservation inconsistencies in Cartesian cut-cell solvers, seamlessly coupling immersed boundary formulations with the classic Marker-and-Cell (MAC-SOLA) Navier-Stokes algorithm. His computational solvers leverage MPI parallel domain decomposition and GPGPU/CUDA acceleration to tackle large-scale unsteady flow problems.

Beyond foundational numerical analysis, Dr. Kumar's lab investigates interdisciplinary engineering challenges: physiological hemodynamics in stenosed arteries and aneurysms under pulsatile flow, electrokinetic micromixing for non-Newtonian biological fluids, finite element modeling of TPMS lattice bio-implants, continuous casting mould hydrodynamics, and thermal enhancement of solar energy collectors.

Academic Qualifications:

Ph.D. in Mechanical Engineering, Indian Institute of Technology Patna (IIT Patna), 2016
M.Tech. in Mechanical / Thermal Engineering
B.Tech. in Mechanical Engineering

Computational Fluid Dynamics (CFD) Sharp Interface Immersed Boundary Method Marker & Cell (MAC-SOLA) Scheme MPI & GPU (CUDA) Parallelization Arterial Hemodynamics Induced-Charge Electrokinetics Solar Air Heaters Continuous Steel Casting

Core Scientific Pillars

Sharp Interface IBM & Mass Conservation

Formulating cut-cell discretization schemes that strictly conserve mass and momentum while eliminating spurious pressure oscillations around moving geometries.

HPC & Scalable Parallel Solvers

Developing high-throughput MPI domain decomposition and CUDA GPU kernels to accelerate large-scale 3D Navier-Stokes and thermal-fluid simulations.

Hemodynamics & Microscale Transport

Simulating physiological blood flows in stenosed arteries and aneurysms, electrokinetic micro-mixing, and FEA optimization of porous TPMS bio-implants.

Applied Thermal & Industrial Energy Systems

Modeling solidified shell growth in continuous steel casting moulds, artificial roughness in solar air heaters, and surrogate modeling with deep neural networks.

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Years in Research Dedicated to computational mechanics & CFD

Journal Publications Refereed papers in Elsevier, Springer, ASME

Conference Papers Peer-reviewed national & international proceedings

Ph.D. Supervisions Successfully awarded doctoral dissertations

Signature Research & Computational Methodologies

Sharp Interface Immersed Boundary Method (IBM)

Advanced Cartesian cut-cell algorithms, rigorous discrete mass conservation, and high-performance parallel solvers for complex, moving, and deformable boundary flows.

Numerical Framework & Theoretical Formulation

Incompressible Navier-Stokes • Cartesian Staggered Grids • MAC-SOLA Scheme

The simulation of fluid flows past arbitrarily shaped, moving, or deforming bodies poses severe challenges for conventional body-fitted grid generators due to boundary mesh distortion and expensive dynamic remeshing. Dr. Manish Kumar’s research pioneered a Sharp Interface Immersed Boundary Method (IBM) formulated on fixed Cartesian staggered meshes that enforces strict boundary interface velocity-pressure boundary conditions without smearing physical gradients.

A central breakthrough of this formulation is resolving the longstanding numerical artifact of non-physical pressure oscillations created when moving boundaries traverse Eulerian control volumes. By devising a novel discrete cut-cell mass conservation formulation coupled with the Marker-and-Cell Solution Algorithm (MAC-SOLA) Navier-Stokes solver, Dr. Kumar's method guarantees divergence-free velocity fields in cells dynamically cut by the moving interface. The computational pipeline has been scaled to massive unsteady domains via MPI parallel domain decomposition and GPGPU (CUDA) acceleration.

Sharp Interface IBM Cut-Cell Discretization Pipeline Eulerian-Lagrangian Discretization Schematic

Scroll horizontally to inspect full cut-cell mesh schematic

Core Research Investigations & Engineering Applications

Moving & Deformable Boundary CFD

Pioneering sharp interface cut-cell algorithms that eliminate the need for body-fitted unstructured remeshing in complex moving geometry problems:

Mass Conservation Enforcement: Rigorous velocity-pressure decoupling preventing cut-cell pressure spikes.
Solvers & Discretization: Marker-and-Cell (MAC-SOLA) finite differences with 2nd-order bilinear interpolation.
Benchmark Validations: In-line/transverse oscillating cylinders, lock-in regimes, and flexible flapping boundaries.

High-Performance Parallel Computing

Harnessing modern parallel supercomputing architectures to accelerate Navier-Stokes and thermal-fluid simulations:

MPI Domain Decomposition: Efficient spatial partitioning with non-blocking ghost-cell boundary communication.
GPGPU / CUDA Acceleration: Custom CUDA kernels for accelerated pressure-Poisson Poisson equation solves.
Large-Scale Computations: High-resolution 3D multi-million cell simulations executed with substantial speedup factors.

Hemodynamics & Electrokinetic Microfluidics

Translating computational fluid mechanics to clinical physiology and process micro-devices:

Cardiovascular Flows: Pulsatile hemodynamic analysis in stenosed arteries and sidewall cerebral aneurysms.
ICEK Micromixing: Induced-charge electrokinetics for non-Newtonian biological fluids with dynamic conductive links.
TPMS Bio-Implants: FEA and fluid permeability analysis of Triply Periodic Minimal Surface bone scaffolds.

Solar Thermal & Metallurgical Hydrodynamics

Optimizing industrial heat exchangers, continuous casting lines, and renewable solar collectors:

Continuous Steel Casting: Immersed boundary prediction of solidified shell thickness in square, round, and billet moulds.
Solar Air Heaters: Artificial rib roughness and rotating turbulators for superior thermo-hydraulic performance.
CFD-ANN Hybrid Surrogates: Deep neural networks providing instant thermal-hydraulic prediction from CFD data.

Scholarly Output & Peer-Reviewed Literature

Refereed Publications (35)

Archival journal articles, international conference proceedings, and research book chapters in Computational Fluid Dynamics, numerical heat transfer, and mechanical engineering.

Journal 2026 DOI: 10.1016/j.cep.2026.110995

Three-dimensional numerical study of induced-charge electrokinetic micromixing for non-Newtonian fluids with flexible conductive links

Author(s): Anshul Kumar Bansal, Ram Dayal, Manish Kumar, Siddharth Suman

Chemical Engineering and Processing - Process Intensification (Elsevier) , Vol. 228 , pp. 110995

Presents a three-dimensional numerical investigation of induced-charge electrokinetic (ICEK) micromixing for non-Newtonian power-law fluids incorporating flexible conductive links. The coupled Poisson-Nernst-Planck and Navier-Stokes equations are solved to examine how non-linear fluid rheology interacts with dynamic conductive micro-obstacles to dramatically amplify micro-vortex generation and molecular diffusion.

#Microfluidics#Induced-Charge Electrokinetics#Non-Newtonian Flow#3D CFD#Micromixing

Dr. Manish Kumar

Biography & Research Trajectory

Research Trajectory

Core Scientific Pillars

Sharp Interface IBM & Mass Conservation

HPC & Scalable Parallel Solvers

Hemodynamics & Microscale Transport

Applied Thermal & Industrial Energy Systems

Sharp Interface Immersed Boundary Method (IBM)

Numerical Framework & Theoretical Formulation

Core Research Investigations & Engineering Applications

Moving & Deformable Boundary CFD

High-Performance Parallel Computing

Hemodynamics & Electrokinetic Microfluidics

Solar Thermal & Metallurgical Hydrodynamics

Refereed Publications (35)

Doctoral Supervision & Institutional Projects

Ph.D. Supervision Awarded: Dr. Sarvpriya Singh

Ph.D. Supervision Awarded: Dr. Apoorva Singh

Industrial Consultancy: Tata International Limited

M.Tech PG Research Supervised: Swaranjali Maurya

M.Tech PG Research Supervised: Gaurav Kumar Gupta

Coordinator: TEQIP-III Course on Computational Fluid Dynamics (CFD)

Doctoral Degree Conferral (Ph.D.)

Areas of Expertise

CFD & Numerical Methods

High-Performance Scientific Computing

Biomedical Hemodynamics & Microfluidics

Thermal-Fluid Systems & Energy Modeling

Correspondence & Contact

Electronic Correspondence

Department & Office

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