Numerical methods for (multi-phase) flow

M. Kemna and A. Heinlein and C. Vuik (pdf, bibtex)
Reduced order fluid modeling with generative adversarial networks
Proceedings in Applied Mathematics and Mechanics, 23, e202200241, 2023
Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

Z. Zhang and Y. Wang and C. Vuik and H. Hajibeygi (pdf, bibtex)
An Efficient Simulation Approach for Long-term Assessment of {CO$_2$} Storage in Complex Geological Formations
Society of Petroleum Engineers - SPE Reservoir Characterisation and Simulation Conference and Exhibition 2023, RCSC 2023, 1-18, Society of Petroleum Engineers, Richardson, Texas, USA, 2023

C. Vuik and F.J. Vermolen and M.B. van Gijzen and M.J. Vuik (pdf, bibtex)
Numerical Methods for Ordinary Differential Equations
TU Delft Open, Delft, 2023

F.J. Vermolen and D.R. den Bakker and C. Vuik (pdf, bibtex)
On the fundamental solutions-based inversion of Laplace matrices)
Results in Applied Mathematics, 15, 100288, 2022

M. Abbassi and D.J.P. Lahaye and C. Vuik (pdf, bibtex)
The Effect of Variable Air-Fuel Ratio on Thermal NOx Emissions and Numerical Flow Stability in Rotary Kilns Using Non-Premixed Combustion Processes, 9, 1723, 2021

P. Nakate and D. Lahaye and C. Vuik (pdf, bibtex)
The nitric oxide formation in anode baking furnace through numerical modeling
International Journal of Thermofluids, 12, 100122, 2021

J. Hinz and A. Jaeschke and M. Moller and C. Vuik (pdf, bibtex)
The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications
Computer Methods in Applied Mechanics and Engineering, 378, 113685, 2021

S.V. Kumar and C. Vuik (pdf, bibtex)
A simple and fast hole detection algorithm for triangulated surfaces
Journal of Computing and Information Science in Engineering, 21, 044502, 2021

R. Euser and C. Vuik ( bibtex)
A Non-reflective Boundary Condition for LBM Based on the Assumption of Non-equilibrium Symmetry. Numerical Mathematics and Advanced Applications ENUMATH 2019 European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4, 2019
Lecture Notes in Computational Science and Engineering 139
Springer, Cham, pp. 399-408, 2021

M. Abbassi and D.J.P. Lahaye and C. Vuik ( bibtex)
Modelling Turbulent Combustion Coupled with Conjugate Heat Transfer in OpenFOAM
Numerical Mathematics and Advanced Applications ENUMATH 2019 European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4, 2019
Lecture Notes in Computational Science and Engineering 139
Springer, Cham, pp. 1137-1146, 2021

J. Hinz and M. Moller and C. Vuik ( bibtex)
An IGA Framework for PDE-Based Planar Parameterization on Convex Multipatch Domains
Isogeometric Analysis and Applications 2018
Editors: H. van Brummelen and C. Vuik and M. Moler and C. Verhoosel and b. Simeon and B. Juttler
Lecture Notes in Computational Science and Engineering 133
Springer, Cham, pp. 57-75, 2021

D. Lahaye and M. el Abbassi and C. Vuik and M. Talice and F. Juretic (pdf, bibtex)
Mitigating Thermal NOx by Changing the Secondary Air Injection Channel: A Case Study in the Cement Industry
Fluids, 5, 220, 2020

A.A. Lukyanov and C. Vuik (pdf, bibtex)
A stable SPH discretization of the elliptic operator with heterogeneous coefficients
Journal of Computational and Applied Mathematics, 374, 2020

E. Wobbes and R. Tielen and M. Moller and C. Vuik (pdf, bibtex)
Comparison and unification of material-point and optimal transportation meshfree methods
Computational Particle Mechanics, 8, pp, 113-133, 2020

E. Wobbes and M. Moller and V. Galavi and C. Vuik (pdf, bibtex)
Taylor least squares reconstruction technique for material point methods
Proceedings of the 6th European Conference oo n Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018
Editors: R. Owen and R. de Borst and J. Reese and C. Pearce
International Centre for Numerical Methods in Engineering, CIMNE, Barcelona, pp. 806-817, 2020

J. Knipping and J. du Toit and C. Vuik (pdf, bibtex)
Comparison of Wavelets for Adaptive Mesh Refinement
Technical Report TR1/20 NAG, Oxford, 2020

S.V. Kumar and C. Vuik (pdf, bibtex)
Distance field driven mean camber line extraction algorithm
Delft University of Technology
Delft Institute of Applied Mathematics
Report 20-03, 2020

R. Euser and C. Vuik (pdf)
A non-reflective boundary condition for LBM based on the assumption of non-equilibrium symmetry
https://arxiv.org/abs/2005.08674

M. Abbassi and D.J.P. Lahaye and C. Vuik (pdf, bibtex)
Modelling turbulent combustion coupled with conjugate heat transfer in OpenFOAM
Delft University of Technology
Delft Institute of Applied Mathematics
Report 17-11, 2017

M. Abbassi, D.J.P. Lahaye, and C. Vuik (pdf, bibtex)
Modelling turbulent combustion coupled with conjugate heat transfer in OpenFOAM
Proceedings of the Tenth Mediterranean Combustion Symposium 17 - 21 September 2017 Flegrea Area, Napoli, Italy
Editors: F. Beretta, N. Selcuk, M.S. Mansour, and A. D'Anna
School of Polytechnic and Basic Sciences of University of Naples, pp. 1-15, 2017

E. Wobbes and R. Tielen and M. Moller and C. Vuik (pdf, bibtex)
Comparison and unification of material-point and optimal transportation meshfree methods
Computational Particle Mechanics, 2020

E. Wobbes and M. Moeller and V. Galavi and C. Vuik (pdf, bibtex)
Conservative Taylor least squares reconstruction with application to material point methods
International Journal for Numerical Methods in Engineering, 117, pp. 271-290, 2019

E. Wobbes, R. Tielen, M. Moller, C. Vuik, and V. Galavi (pdf, bibtex)
Recent Developments to Improve the Numerical Accuracy
The Material Point Method for Geotechnical Engineering: A Practical Guide
Editors J. Fern, A. Rohe, K. Soga, E. Alonso
CRC Press, Boca Raton, pp. 67-88, 2019

J. Quoc-Anh Tran and E. Wobbes and W. Solowski and M. Moeller and C. Vuik (pdf, bibtex)
Moving least squares reconstruction for B-spline Material Point Method
2nd International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction, Anura3D, MPM Research Community
Deltares, Delft pp. 35-41, 2019

E. Wobbes and M. Moeller and R. Tielen and C. Vuik and V. Galavi (pdf, bibtex)
Comparison between Material Point Method and meshfree schemes derived from optimal transportation theory
2nd International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction, Anura3D, MPM Research Community
Deltares, Delft, pp. 173-178, 2019

J. Hinz and M. Moeller and C. Vuik (pdf, bibtex)
Spline-based meshing techniques for industrial applications
Proceedings of the 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7) 1115 June 2018, Glasgow, UK
Editors: R. Owen and R. de Borst and J. Reese
ECCOMAS, CIMNE, Barcelona, pp. 1-12, 2018

J. Hinz and M. Moeller and C. Vuik (pdf, bibtex)
Spline-Based Parameterization Techniques for Twin-Screw Machine Geometries
IOP Conference Series: Materials Science and Engineering, 425, 012030, 2018

J. Hinz and M. Moeller and C. Vuik (pdf, bibtex)
Elliptic grid generation techniques in the framework of isogeometric analysis applications
Computer Aided Geometric Design, 65, pp. 48-75, 2018

E. Wobbes and M. Moller and V. Galavi and C. Vuik (pdf, bibtex)
Taylor Least Squares reconstruction technique for material point methods
Proceedings of the 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7) 1115 June 2018, Glasgow, UK
Editors: R. Owen and R. de Borst and J. Reese
ECCOMAS, CIMNE, Barcelona, pp. 1-12, 2018

E. Wobbes and L. Beuth and C. Vuik and D. Stolle (pdf, bibtex)
Modeling of Liquefaction using Two-phase FEM with UBC3D-PLM model
Procedia Engineering, 175, pp. 349-356, 2017

J.S.B. van Zwieten and B. Sanderse and M.H.V. Hendrix and C. Vuik and R.A.W.M. Henkes (pdf, bibtex)
Efficient simulation of one-dimensional two-phase flow with a high-order h-adaptive space-time Discontinuous Galerkin method
Computers and Fluids, 156, pp. 34-47, 2017

R. Gupta and D. Lukarski and M.B. van Gijzen and C. Vuik (pdf, bibtex)
Evaluation of the Deflated Preconditioned CG method to solve Bubbly and Porous Media Flow Problems on GPU and CPU
International Journal for Numerical Methods in Fluids, 80, pp. 666-683, 2016

M.M.J. Mieremet and D.F. Stolle and F. Ceccato and C. Vuik (pdf, bibtex)
Numerical stability for modelling of dynamic two-phase interaction
International Journal for Numerical and Analytical Methods in Geomechanics, 40, pp. 1284-1294, 2016

G. Oud and D.R. van der Heul and C. Vuik and R.A.W.M. Henkes (pdf, bibtex)
A fully conservative mimetic discretization of the Navier-Stokes equations in cylindrical coordinates with associated singularity treatment
Journal of Computational Physics, 325, pp. 314-337, 2016

F. Raees and D.R. van der Heul and C. Vuik (pdf, bibtex)
A mass-conserving level-set method for simulation of multiphase flow in geometrically complicated domains
International Journal for Numerical Methods in Fluids, 81, pp. 399-425, 2016

J.S.B. van Zwieten and D.R. van der Heul and R.H.A. IJzermans, R.A.W.M. Henkes and C. Vuik (bibtex)
Two-Phase Flow Solved by High Order Discontinuous Galerkin Method
Spectral and High Order Methods for Partial Differential Equations - Selected papers ICOSAHOM 2012
Editors: M. Azaiez and H. El Fekih and J.S. Hesthaven
Lecture Notes in Computational Science and Engineering, 95 Springer, New York, pp. 415-425, 2014

F. Raees and D.R. van der Heul and C. Vuik (pdf, bibtex)
The first step towards extension of the Mass-Conserving Level-Set method to discretisations using general polyhedral control volumes Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), September 10-14, 2012, Vienna, Austria Editors: H.A. Mang and J. Eberhardsteiner and H.J. Bohm and F.G. Rammerstorner ECCOMAS, 2012, CDROM, ISBN: 978-3-9502481-9-7

S.P. van der Pijl and A. Segal and C. Vuik and P. Wesseling (pdf, bibtex)
Computing three-dimensional two-phase flows with a mass-conserving level-set method
Comput. Visual Sci., 11, pp. 221-235, 2008

S.P. van der Pijl and A. Segal and C. Vuik ( pdf-file, bibtex item)
Modelling of three-dimensional bubbly flows with a mass-conserving level-set method
Proceedings of the 4th European Congress on Computational Methods in Applied Sciences and Engineering, Volume II, ECCOMAS 2004, Jyvaskyla, Finland, July 24-28, 2004 editor: P. Neittaanmaki and T. Rossi and S. Korotov and E. Onate and J. Periaux and D. Knorzer University of Jyvaskyla, Jyvaskyla, 2004 pages: CD ISBN 951-39-1869-6

D.R. van der Heul, C. Vuik, P.Wesseling ( pdf-file, bibtex item, software)
A Conservative Pressure Correction Method for Flow at All Speeds
Computers and Fluids, 32, pp. 1113--1132, 2003

S.P. van der Pijl and A. Segal and C. Vuik ( pdf-file, bibtex item)
A mass conserving level set (MCLS) method for modeling of multi-phase flows
Delft University of Technology
Department of Applied Mathematical Analysis
Report 03-03
ISSN 1389-6520

D.R. van der Heul, C. Vuik, P.Wesseling ( pdf-file, bibtex item)
A Conservative Pressure Correction Method for the Euler and Ideal MHD Equations at All Speeds
Int. J. for Num. Meth. Fluids, 40, pp. 521--529, 2002

D.R. van der Heul and C. Vuik and P. Wesseling ( bibtex item)
A Conservative Pressure Correction Method for the Euler and Ideal MHD Equations at All Speeds
Numerical Methodes for Fluid Dynamics VII, Proceedings of the 7th International Conference on Numerical Methods for Fluid Dynamics, March 2001, Oxford , pp. 337--345
editors: M.J. Baines
ICFD, Oxford University Computing Laboratory, Oxford, 2001

D.R. van der Heul and C. Vuik and P. Wesseling ( pdf-file, bibtex item)
Stability analysis of segregated solution methods for compressible flow
Applied Numerical Mathematics, 38, pp. 257--274, 2001

D.R. van der Heul and C. Vuik and P. Wesseling ( bibtex item)
Efficient computation of flow with cavitation with compressible pressure correction
Delft University of Technology
Department of Applied Mathematical Analysis
Report 00-11
ISSN 1389-6520

D.R. van der Heul and C. Vuik and P. Wesseling (pdf-file, bibtex item)
Segregated solution methods for compressible flow
Delft University of Technology
Department of Applied Mathematical Analysis
Report 00-06
ISSN 1389-6520

P. Wesseling, D.R. van der Heul and C. Vuik ( bibtex item, pdf file)
Uniformly effective numerical methods for hyperbolic systems
In: M. Deville and R. Owens (eds.): Proceedings of the 16th IMACS World Congress 2000. Lausanne, August 2000.
CDROM ISBN 3-9522075-1-9,
Rutgers University, New Brunswick, 2000

D.R. van der Heul, C. Vuik and P. Wesseling ( bibtex item, pdf file)
Efficient computation of flow with cavitation by compressible pressure correction
Proceedings European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000
editors: E. Oñate, G. Bugeda and B. Suárez
CIMNE, Barcelona, 2000
CDROM ISBN 84-89925-70-4

P. Wesseling, D.R. van der Heul and C. Vuik ( bibtex item, pdf file)
Unified methods for computing compressible and incompressible flows
Proceedings European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000
editors: E. Oñate, G. Bugeda and B. Suárez
CIMNE, Barcelona, 2000
CDROM ISBN 84-89925-70-4

D.R. van der Heul and C. Vuik and P. Wesseling ( pdf file, bibtex item)
A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation
Computing and Visualization in Science, 2, pp. 63-68 , 1999

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Kees Vuik

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