TM Tomislav Marić

Complete record · updated September 2026

Publications with the evidence attached.

Twenty-three peer-reviewed contributions, books and chapters, a dissertation, and active preprints. Filters work without leaving the page; every DOI and arXiv link remains a direct source.

36 records

Plot of parasitic-current magnitude beside a computed velocity field around a droplet.
Parasitic-current response and velocity field used to assess force balance on non-orthogonal meshes. Source: arXiv 2402.04043, figures/parasiticCurrent.pdf.

J12026Journal

A residual-based non-orthogonality correction for force-balanced unstructured volume-of-fluid methods

J. Liu, T. Tolle, and T. Marić

European Physical Journal Special Topics 235, 317–347

A deterministic residual-based non-orthogonality correction restores surface-tension and gravity force balance near linear-solver tolerance on polyhedral meshes.

Multiphase CFDNumerical methods
DOI arXiv
Workflow diagram connecting OpenFOAM simulations to SmartRedis and machine-learning applications through in-memory data exchange.
Online CFD-to-ML post-processing through OpenFOAM, SmartRedis, and SmartSim. Source: arXiv 2402.16196, figures/live-postprocessing.drawio.pdf.

J22025Journal

Combining machine learning with computational fluid dynamics using OpenFOAM and SmartSim

T. Marić, M. E. Fadeli, A. Rigazzi, A. Shao, and A. Weiner

Meccanica 60(6), 1831–1850

A scalable, in-memory coupling enables online training and inference between parallel OpenFOAM simulations and machine-learning models.

CFD + MLResearch software
DOI arXiv Code
Flowchart of the plicRDF-isoAdvector numerical solution sequence for wetting simulations.
Solution sequence coupling plicRDF interface reconstruction with isoAdvector transport. Source: arXiv 2302.02629, figures/plicRDF_isoAdvector-flowchat.pdf.

J32025Journal

Numerical wetting simulations using the plicRDF-isoAdvector unstructured Volume-of-Fluid method

M. H. Asghar, M. Fricke, D. Bothe, and T. Marić

Computers & Mathematics with Applications 180, 191–213

A verified unstructured VOF treatment connects geometric interface advection with dynamic contact-angle models.

WettingMultiphase CFD
DOI arXiv
Three-dimensional simulated velocity field around a bubble affected by surfactant-driven Marangoni stresses.
Marangoni-induced velocity around a migrating surfactant-laden bubble. Source: arXiv 2403.19523, figures/results/bubble-marangoni-migration/3dBubble_Marangoni_velocity.png.

J42025Journal

twoPhaseInterTrackFoam: An OpenFOAM module for arbitrary Lagrangian/Eulerian interface tracking with surfactants and subgrid-scale modeling

M. Schwarzmeier, S. Raju, Ž. Tuković, M. Fricke, D. Bothe, and T. Marić

Computer Physics Communications 308, 109460

An OpenFOAM module couples interface tracking, surfactant transport, and subgrid-scale mass-transfer models.

Multiphase CFDResearch software
DOI arXiv
Side-by-side experiment, three-dimensional simulation, and tracked interface profiles during microcavity filling.
Experiment, three-dimensional simulation, and tracked interface profiles for filling regime F. Source: arXiv 2407.18068, Figure_9_review.png.

J52025Journal

Experimental and numerical study of microcavity filling regimes for Lab-on-a-Chip applications

L. Nagel, A. Lippert, R. Leonhardt, T. Tolle, H. Zhang, and T. Marić

International Journal of Multiphase Flow 188, 105208

High-speed experiments and three-dimensional geometric-VOF simulations identify distinct microcavity-filling regimes and the conditions controlling gas entrapment.

MicrofluidicsMultiphase CFD
DOI arXiv Code Data
Diagram showing a reconstructed fluid interface cutting cells of an unstructured computational mesh.
Geometric reconstruction of a viscoelastic two-phase interface on an unstructured mesh. Source: arXiv 2311.10872, figures/viscoel-vof-af-reconstructed.pdf.

J62025Journal

An unstructured geometrical un-split VOF method for viscoelastic two-phase flows

M. Niethammer, M. H. Asghar, D. Bothe, and T. Marić

Computer Physics Communications 309, 109475

A geometric VOF framework extends interface-resolved simulation to viscoelastic two-phase flows on unstructured meshes.

Multiphase CFDResearch software
DOI arXiv Code
Experimental and simulated liquid interfaces advancing through a three-by-three microcavity array.
Experimental and simulated interface progression through a three-by-three microcavity array. Source: arXiv 2306.11532, Figures/06_results/anim_3x3cav_CA90-120_AVI0_wispTol0_2.png.

J72024Journal

Stabilizing the unstructured Volume-of-Fluid method for capillary flows in microstructures using artificial viscosity

L. Nagel, A. Lippert, T. Tolle, R. Leonhardt, H. Zhang, and T. Marić

Experimental and Computational Multiphase Flow 6(2), 140–153

Targeted artificial interface viscosity reduces parasitic currents by about one order of magnitude while retaining the measured interface progression in capillary microstructures.

MicrofluidicsMultiphase CFD
DOI arXiv Code
Three-dimensional computed liquid jet breaking into sheets, ligaments, and droplets.
Three-dimensional jet breakup used to test consistent mass and momentum transport at high density ratio. Source: Local article source, 2024-article-inter-densityratio/2024-article-inter-densityratio-source/figures/Jet_3D.0023.png.

J82024Journal

Inconsistencies in unstructured geometric volume-of-fluid methods for two-phase flows with high density ratios

J. Liu, T. Tolle, D. Zuzio, J.-L. Estivalèzes, S. M. Damian, and T. Marić

Computers & Fluids 281, 106375

The analysis identifies how discrete phase-volume, mass, and momentum fluxes lose equivalence, then verifies two consistent geometric-VOF remedies through density ratio 10^6 and viscosity ratio 10^5.

Multiphase CFDNumerical methods
DOI arXiv
High-speed grayscale microchannel image with an interface contour and measured top and bottom contact angles.
Automated contact-angle extraction from a curved-microchannel experiment. Source: arXiv 2403.09246, figures/imageAnalysis/contact_angles_127.jpg.

J102024Journal

Experimental study of dynamic wetting behavior through curved microchannels with automated image analysis

H. Zhang, A. Lippert, R. Leonhardt, T. Tolle, L. Nagel, M. Fricke, and T. Marić

Experiments in Fluids 65(6), 95

A validated automated image-analysis workflow quantifies interface motion and dynamic contact angles in curved microchannels and tests competing wetting models.

MicrofluidicsExperiments
DOI arXiv Code Data
Computational mesh and geometry for a plate-plate tribometer with labelled dimensions.
Discretized plate–plate tribometer domain used for numerical validation. Source: arXiv 2311.10821, figures/domain_mesh.png.

J112024Journal

Analytical and numerical validation of a plate–plate tribometer for measuring wall slip

M. H. Asghar, T. Marić, H. Ben Gozlen, S. Raju, M. Fricke, M. M. G. Kuhr, P. F. Pelz, and D. Bothe

Flow 4, E31

Analysis and simulation establish the operating range and interpretation of a plate–plate tribometer for wall-slip measurements.

VerificationRheology
DOI arXiv
Three grayscale micrographs of thick and asymmetric liquid interfaces in a T-shaped microchannel crevice.
Examples of thick and asymmetric interfaces in the microchannel crevice region. Source: arXiv 2408.14083, figures/results/dynCAcrevice.png.

J122024Journal

Fluid wetting and penetration characteristics in T-shaped microchannels

H. Zhang, A. Lippert, R. Leonhardt, T. Tolle, L. Nagel, and T. Marić

Experiments in Fluids 65(11), 171

Experiments quantify how crevice width, edge rounding, and flow rate govern contact-line pinning and penetration through T-shaped microchannels.

MicrofluidicsExperiments
DOI arXiv Code Data
Comparative simulation panels showing deformation with inconsistent transport and a stable translating droplet with rhoLENT.
Inconsistent and rhoLENT-consistent interface transport at high density ratio. Source: arXiv 2109.01595, figures/rholent-translating-droplet-interface.png.

J132023Journal

An unstructured finite-volume level set/front tracking method for two-phase flows with large density ratios

J. Liu, T. Tolle, D. Bothe, and T. Marić

Journal of Computational Physics 493, 112426

rhoLENT couples a geometric face-centred mass flux with an auxiliary mass equation, maintaining stable mass-momentum transport through density and viscosity ratios of 10^4.

Multiphase CFDNumerical methods
DOI arXiv
Schematic cross-section of a liquid bridge stretched between two substrates with geometric dimensions labelled.
Model geometry for fast stretching of a liquid bridge between moving and stationary substrates. Source: Local author manuscript, article-liquid-bridge-stretching.pdf, page 2.

J142023Journal

Asymmetry During Fast Stretching of a Liquid Bridge

M. H. Asghar, P. Brockmann, X. Dong, M. Niethammer, T. Marić, I. Roisman, and D. Bothe

Chemical Engineering & Technology 46(9), 1800–1807

Experiments and simulations examine symmetry breaking during rapid extension of a liquid bridge.

Multiphase CFDExperiments
DOI
Line plots comparing analytical and OpenFOAM velocity profiles for start-up channel flow with slip.
Analytical and OpenFOAM start-up channel-flow solutions with wall slip. Source: arXiv 2103.06662, figures/startUpFlowSlip_2.0_2.0.pdf.

J152022Journal

Computing hydrodynamic eigenmodes of channel flow with slip—A highly accurate algorithm

S. Raju, D. Gründing, T. Marić, D. Bothe, and M. Fricke

Canadian Journal of Chemical Engineering 100(12), 3531–3547

A high-accuracy formulation computes hydrodynamic eigenmodes for channel flow with slip boundary conditions.

Numerical methodsWetting
DOI arXiv
Three-dimensional brain-shaped triangulated surface coloured by computed volume fractions in an unstructured mesh.
Volume-fraction initialization on a complex triangulated surface. Source: Local article source, 2019-article-vofinit/socialmedia/volume-fractions-brain_cropped.png.

J162022Journal

triSurfaceImmersion: Computing volume fractions and signed distances from triangulated surfaces immersed in unstructured meshes

T. Tolle, D. Gründing, D. Bothe, and T. Marić

Computer Physics Communications 273, 108249

A reusable algorithm calculates signed distances and cell volume fractions from triangulated surfaces in general meshes.

GeometryResearch software
DOI
Sequence of interface planes intersecting a non-convex dodecahedral cell at different volume fractions.
Volume fraction as an interface plane moves through a non-convex polyhedron. Source: arXiv 2012.02227, figures/ENDO_DODECAHEDRON_ALPHA_S.png.

J172021Journal

Iterative Volume-of-Fluid interface positioning in general polyhedrons with Consecutive Cubic Spline interpolation

T. Marić

Journal of Computational Physics: X 11, 100093

The CCS positioning algorithm reconstructs VOF interfaces in general polyhedral cells with accuracy-driven iteration.

Multiphase CFDNumerical methods
DOI arXiv
Time sequence comparing experimental images and numerical interfaces during breakup of a patterned capillary bridge.
Experiment and simulation during capillary-bridge breakup on hydrophobic stripes. Source: arXiv 1910.01887, figures/qualitativeComparison.pdf.

J182021Journal

Breakup dynamics of capillary bridges on hydrophobic stripes

M. Hartmann, M. Fricke, L. Weimar, D. Gründing, T. Marić, D. Bothe, and S. Hardt

International Journal of Multiphase Flow 140, 103582

Experiments and computation characterize the breakup of capillary bridges constrained by patterned wettability.

MicrofluidicsExperiments
DOI arXiv
Coloured triangulated interface after three-dimensional deformation in a geometric Volume-of-Fluid test.
Three-dimensional interface deformation reconstructed on an unstructured mesh. Source: arXiv 2007.02860, figures/Swartz-FluxTri-3Ddeformation.png.

J192020Journal

Unstructured un-split geometrical Volume-of-Fluid methods—A review

T. Marić, D. B. Kothe, and D. Bothe

Journal of Computational Physics 420, 109695

A systematic review connects geometry, transport, consistency, and implementation choices across unstructured geometric VOF methods.

Multiphase CFDReview
DOI arXiv
Convergence plot of the computed contact-line position for several meshes and time steps.
Computed contact-line motion across mesh and time-step refinements. Source: arXiv 1907.01785, images/results/plic/l1_error/shear-youngs-position-left.pdf.

J202020Journal

Contact line advection using the geometrical Volume-of-Fluid method

M. Fricke, T. Marić, and D. Bothe

Journal of Computational Physics 407, 109221

A geometric VOF treatment resolves moving contact lines with prescribed dynamic contact-angle behavior.

WettingMultiphase CFD
DOI arXiv
Computed circular interface on a Cartesian mesh from the updated SAAMPLE and LENT coupling.
Front representation in the updated multiphase pressure–velocity coupling. Source: arXiv 2001.09775, figures/plots/stationary_droplet_numeric_curvature/t20_front_n16_new_lent.png.

J212020Journal

SAAMPLE: A segregated accuracy-driven algorithm for multiphase pressure-linked equations

T. Tolle, D. Bothe, and T. Marić

Computers & Fluids 200, 104450

An accuracy-driven pressure–velocity algorithm targets solver error directly in multiphase calculations.

Numerical methodsMultiphase CFD
DOI arXiv
Schematic of a fluid interface meeting a wall with contact angle, normal vectors, and contact-line velocity labelled.
Contact-line and contact-angle geometry for interface advection. Source: Related author manuscript arXiv 1907.01785, images/Contact_angle.pdf.

J222019Proceedings

Contact line advection using the level set method

M. Fricke, T. Marić, and D. Bothe

PAMM 19(1), e201900476

A level-set formulation treats moving contact-line kinematics in a geometric interface framework.

WettingNumerical methods
DOI
Three-dimensional polyhedral flux volumes around an interface moving across an unstructured mesh face.
Flux polyhedra formed during three-dimensional interface advection. Source: Local article source, 2017-article-10-jcomp-ufvfc/figures/flux-polyhedra-shear-front.png.

J232018Journal

An enhanced un-split face-vertex flux-based VoF method

T. Marić, H. Marschall, and D. Bothe

Journal of Computational Physics 371, 967–993

A face-vertex flux formulation advances conservative unsplit VOF transport on unstructured meshes.

Multiphase CFDNumerical methods
DOI
Circular tracked interface represented by connected front points on a Cartesian mesh.
Original lentFoam interface representation in a stationary-droplet test. Source: Related author manuscript arXiv 2001.09775, figures/plots/stationary_droplet_numeric_curvature/t20_front_n16_old_lent.png.

J242015Journal

lentFoam—A hybrid Level Set/Front Tracking method on unstructured meshes

T. Marić, H. Marschall, and D. Bothe

Computers & Fluids 113, 20–31

The original lentFoam method combines level-set representation with front tracking on general meshes.

Multiphase CFDResearch software
DOI
Tree diagram showing the organization of research objects and their data, metadata, and derived outputs.
Hierarchical organization of research objects, metadata, and derived data. Source: Local SFB 1194 book source, Z-INF/tree_schematic.png.

B12026Book chapter

Research Data Management in Collaborative Research Projects

B. Lambie, D. Bothe, C. Bischof, and T. Marić

Interaction Between Transport and Wetting Processes, Springer, 461–473

A practical account of research-data management for long-running, interdisciplinary collaborative projects.

Research softwareData engineering
DOI
Schematic control volume with moving interface, wall boundary, normals, and contact angle labelled.
Control-volume geometry for ALE-based capillary-imbibition modelling. Source: Local SFB 1194 book source, B02/control-volume.png.

B22026Book chapter

Mathematical Modeling and ALE-Based Numerical Simulation of Capillary Imbibition: Bridging Microscopic and Macroscopic Scales

M. Fricke, J. De Coninck, Ž. Tuković, T. Marić, and D. Bothe

Interaction Between Transport and Wetting Processes, Springer, 243–271

Mathematical models and ALE simulations connect microscopic contact-line physics to macroscopic capillary imbibition.

WettingNumerical methods
DOI
Schematic computational cells near a wall showing reconstructed interface segments and the prescribed contact angle.
Contact-angle treatment in the VOF formulation. Source: Local SFB 1194 book source, B01/contact-angle-handling.png.

B32026Book chapter

Mathematical Modeling and VOF-Based Numerical Simulation of Transport Processes in Two-Phase Flows with Dynamic Contact Lines

D. Bothe, M. Fricke, and T. Marić

Interaction Between Transport and Wetting Processes, Springer, 211–242

A unified treatment of transport modelling and geometric VOF simulation for two-phase flows with dynamic contact lines.

WettingMultiphase CFD
DOI
Original workflow diagram connecting mesh, physical fields, finite-volume operators, linear solvers, and verification.
OpenFOAM finite-volume workflow from mesh and fields to discretization, solution, and verification. Source: Site asset, assets/images/publication-openfoam-primer.svg.

B42021Book

The OpenFOAM Technology Primer, Edition OpenFOAM-v2012

T. Marić, J. Höpken, and K. G. Mooney

Figshare

An open technical introduction to OpenFOAM architecture, numerical workflows, and extensible solver development.

TeachingResearch software
DOI
Reconstructed three-dimensional interface surface after a demanding deformation test on an unstructured mesh.
Three-dimensional interface after severe deformation on an unstructured mesh. Source: Local dissertation research source, voFoam-hex-deformation3D-SwartzNew-2-1-30-30-T3-N128-t15.png.

D12017Dissertation

Lagrangian/Eulerian numerical methods for fluid interface advection on unstructured meshes

T. Marić

Technische Universität Darmstadt

Doctoral research on geometric interface advection and hybrid Eulerian–Lagrangian methods for unstructured meshes.

Multiphase CFDNumerical methods
Method schematic showing a narrow pressure-projection region localized around a reconstructed free surface.
Localized pressure-projection domain around a resolved free surface. Source: Local preprint source, 2026-article-VoF-LPPM-BOSCH/method_sketch.pdf.

P12026Preprint

Interface-following localized pressure projection in volume-of-fluid methods for incompressible free-surface flows

J. Rettig, A. Lippert, and T. Marić

Under review at Computers & Fluids

A localized pressure-projection strategy follows the interface in free-surface VOF calculations.

Multiphase CFDNumerical methods
Comparative simulated bubble-interface shapes for Newtonian and viscoelastic two-phase-flow cases.
Predicted bubble shapes for Newtonian and viscoelastic configurations. Source: Local preprint source, 2026-article-DeboRheoV2.0/Figures/Shape2DNNNV.png.

P22026Preprint

A robust un-split geometrical VOF approach for viscoelastic two-phase flows

D. Izbassarov, M. Niethammer, R. Subburaj, D. Bothe, F. Romanò, R. Hao, M. Muradoglu, and T. Marić

In preparation for Computer Physics Communications

Ongoing work extends robust unsplit geometric VOF transport to viscoelastic multiphase applications.

Multiphase CFDRheology
Three-dimensional spherical interface coloured by computed surface concentration after ten time steps.
Surface concentration after ten time steps in the two-sided subgrid-scale model. Source: arXiv 2505.17036, figures__res__risContBubble3D__New_Cs_after10TS_cIni0-05.png.

P32025Preprint

A two-sided subgrid-scale model for mass transfer across fluid interfaces

M. Schwarzmeier, T. Marić, Ž. Tuković, and D. Bothe

Under review at Journal of Computational Physics

A two-sided subgrid model represents unresolved interfacial mass-transfer boundary layers.

Multiphase CFDMass transfer
arXiv
Comparative pressure-distribution curves around a spherical bubble during its initial acceleration.
Computed and analytical pressure distributions around an initially accelerating bubble. Source: arXiv 2411.10916, figures/PressureDist.pdf.

P42024Preprint

The initial acceleration of a buoyant spherical bubble revisited

D. Bothe, J. Liu, P.-E. Druet, T. Marić, M. Niethammer, and G. Brenn

arXiv

The analysis revisits the earliest acceleration stage of a buoyant spherical bubble.

Multiphase CFDMathematical modelling
arXiv
Diagram connecting a scientific publication with archived data and source code through persistent identifiers.
Persistent-identifier links between publication, data, and source code. Source: arXiv 2310.00960, images/cross-linking-dennis.drawio.png.

P52023Preprint

A pragmatic workflow for research software engineering in computational science

T. Marić, D. Gläser, J.-P. Lehr, I. Papagiannidis, B. Lambie, C. Bischof, and D. Bothe

arXiv

A pragmatic workflow integrates version control, review, testing, automation, releases, and persistent research outputs.

Research softwareData engineering
arXiv
Plot comparing the simulated three-dimensional oscillating droplet response with an analytical reference solution.
Oscillating-droplet benchmark compared with analytical reference behaviour. Source: arXiv 2212.02904, notebook-generated oscillating-droplet figure.

P62022Preprint

A benchmark for surface-tension-driven incompressible two-phase flows

A. Lippert, T. Tolle, A. Dörr, and T. Marić

arXiv

A benchmark isolates surface-tension balance and numerical error in incompressible two-phase solvers.

Multiphase CFDVerification
arXiv
Sequence of a moving interface and surrounding streamlines in a two-dimensional shear-flow test.
Interface evolution and streamlines in a two-dimensional shear field. Source: arXiv 2208.01269, src/dynamics-shear-2d.png.

P72022Preprint

A locally signed-distance preserving level set method for moving interfaces

M. Fricke, T. Marić, A. Vučković, I. Roisman, and D. Bothe

arXiv

SDPLS evolves interfaces while preserving signed-distance structure locally near the moving front.

Numerical methodsMultiphase CFD
arXiv
Three-dimensional reconstructed sphere embedded in a locally refined unstructured computational mesh.
Reconstructed spherical interface on a dynamically refined unstructured mesh. Source: arXiv 1305.3417, figures/sphereFine-LSQ-032.png.

P82013Preprint

voFoam—A geometrical volume of fluid algorithm on arbitrary unstructured meshes with local dynamic adaptive mesh refinement using OpenFOAM

T. Marić, H. Marschall, and D. Bothe

arXiv

An early geometric VOF implementation combines arbitrary unstructured meshes with local adaptive refinement in OpenFOAM.

Multiphase CFDResearch software
arXiv