Development of numerical methods for the simulation of compressible droplet dynamic processes under extreme conditions
Multiphase flows are still challenging for physical, mathematical as well as numerical modeling, especially for a flow regime with extreme ambient conditions, as contemplated in this SFB TRR 75. In this subproject numerical methods for the direct numerical modeling of individual droplets are developed and implemented. Various plugins to implement these flow regimes in the program ‘FS3D’ are being developed. To investigate the numerical modeling in terms of thermodynamic conditions and interaction and to validate, assuming spherical drops a test environment is created. Modeling approaches can be tested quickly in this environment. Direct simulations of flows with droplets require several components: A solver for compressible multicomponent flows with an EOS to accound for real fluid behaviour, methods for coupling the different fluids and algorithms for tracking the material or phase boundaries. In this project the ‘sharp-interface-coupling’ is investigated, whereby the ‘ghost-fluid-method’ is used. The identification of the material boundaries is performed by level-set and/or the volume-of-fluid approach. It is exploited here, that the ‘level set approach’ yields the position, the curvature and the normal of the material boundary and the mass conservation is good in the VOF or indicator approach. Level-Set, VOF-equation and the flow field equations are calculated with a discontinuous Galerkin method in which locally the resolution can be improved by h-p adaptation. The numerical method has to be applicable to the planned application with a compressible twophase flow regime. Therefore the transition near the supercritical regime has to be implemented The main research topics of the TP-A2 in the first funding period are the numerical modeling of the thermodynamic relations on the droplet’s surface and the implementation in the computation program „FS3D“. An essential cooperation exists with thermodynamics, mathematics and chemistry. Hitz, T., Jöns, S., Heinen, M., Vrabec, J., Munz, C.-D.: 2020 Hitz, T.: Hitz, T., Keim, J., Munz, C.-D., Rohde, C.: Jöns, S., Munz, C.-D.: Hitz, T., Heinen, M., Vrabec, J., Munz, C.-D.: Jöns, S., Munz, C.-D.: Müller, C., Hitz, T., Jöns, S., Zeifang, J., Chiocchetti, S., Munz, C.-D.: 2019 Dietzel, D., Hitz, T., Munz, C.-D., Kronenburg, A.: Dietzel, D., Hitz, T., Munz, C.-D., Kronenburg, A.: Föll, F., Hitz, T., Müller, C., Munz, C.-D., Dumbser, M.: 2017 Dietzel, D., Hitz, T., Munz, C.-D., Kronenburg, A.: Fechter, S., Hitz, T., Föll, F., Munz, C.-D.: Hempert, F., Boblest, S., Ertl, T., Sadlo, F., Offenhäuser, P., Glass, C.W., Hoffmann, M., Beck, A., Munz, C.-D., Iben, U.: Fechter, S., Munz, C.-D., Rohde, C., Zeiler, C.: Fechter, S., Munz, C.-D., Rohde, C., Zeiler, C.: Hitz, T., Fechter, S., Munz, C.-D.: S. Fechter, C.-D. Munz: S. Fechter: T. Hitz, S. Fechter, C.-D. Munz: 2013 Fechter, S., Jaegle, F. und Schleper, V.: 2012 Jaegle, F., Zeiler, C., Rohde, C.: Hindenlang, F., Gassner, G., Altmann, C., Beck, A., Staudenmaier, C., Munz, C.-D.: Karch, G.K., Sadlo, F., Weiskopf, D., Munz, C.-D., Ertl, T.: Fechter, S., Jaegle, F., Boger, M., Zeiler, C., Munz, C.-D., Rohde, C.: Fechter, S., Jaegle, F., Boger, M., Munz, C.-D.: 2011 Ferrari, A., Munz, C.-D., Weigand, B.: Sadlo, F., Üffinger, M., Pagot, C., Osmari, D., Comba, J., Ertl, T., Munz, C.-D., Weiskopf, D.: 2007 Gassner, G., Lörcher, F., Munz, C.-D.:Team
Prof. Dr. rer. nat. Claus-Dieter Munz
Description
Publications
2021
Comparison of macro-and microscopic solutions of the Riemann problem II. Two-phase shock tube.
Journal of Computational Physics 429, 110027, 2021
On the Riemann Problem and the Navier-Stokes-Korteweg Model for Compressible Multiphase Flows.
Dissertation University of Stuttgart, 2020.
A parabolic relaxation model for the Navier-Stokes-Korteweg equations.
Journal of Computational Physics 421, 109714, 2020
An Approximate Riemann Solver for Advection–Diffusion Based on the Generalized Riemann Problem.
Communications on Applied Mathematics and Computation 2, 515-539, 2020
Comparison of macro-and microscopic solutions of the Riemann problem I. Supercritical shock tube and expansion into vacuum.
Journal of Computational Physics 402, 109077, 2020
Godunov-Type Schemes for Diffusion and Advection-Diffusion.
In: Demidenko G., Romenski E., Toro E., Dumbser M. (eds) Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy. Springer, Cham., 2020
Improvement of the Level-Set Ghost-Fluid Method for the Compressible Euler Equations.
Droplet Interactions and Spray Processes, 17-29, 2020
Numerical simulation of the growth and interaction of vapour bubbles in superheated liquid jets.
International Journal of Multiphase Flow 121, 103112, 2019
Single vapour bubble growth under flash boiling conditions using a modified HLLC Riemann solver.
International Journal of Multiphase Flow 116, 250-269, 2019
On the use of tabulated equations of state for multi-phase simulations in the homogeneous equilibrium limit.
Shock Waves, 29, 769-793, 2019
Expansion rates of bubble clusters in superheated liquids.
Ilass Europe. 28th european conference on Liquid Atomization and Spray Systems, 2017
Comparison of subcritical interface approximations at high temperature and pressure conditions.
53rd AIAA/SAE/ASEE Joint Propulsion Conference, 2017
Simulation of real gas effects in supersonic methane jets using a tabulated equation of state with a discontinuous Galerkin spectral element method.
Comput. Fluids 145: 167-179, 2017.
A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension.
J. Comput. Phys. 336: 347-374, 2017.
Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension
Comput.Fluids, http://dx.doi.org/10.1016/j.compfluid.2017.03.026, 2017.2016
Simulation of Evaporating Droplets Within A Discontinuous Galerkin Multi-Scale Framework.
Proceedings of the ICMF 2016, Florence, Italy, 2016.2015
A discontinuous Galerkin-based sharp-interface method to simulate three-dimensional compressible two-phase flow,
International Journal for Numerical Methods in Fluids 78(7), 413–435, 2015.
Compressible multi-phase simulation at extreme conditions using a discontinuous Galerkin scheme.
Dissertation University of Stuttgart, 2015.
Treatment of Phase Transitions Across a Sharp Interface Within a Discontinuous Galerkin Multi-Scale Framework.
Proceedings of the ICLASS 2015, Tainan, Taiwan, August 2015.
Exact and approximate Riemann solvers at phase boundaries
Computers and Fluids 75 (2013), 112-126.
DOI: 10.1016/j.compfluid.2013.01.024
A multi-scale algorithm for compressible liquid-vapor flow with surface tension
ESAIM Proceedings 38 (2012), 387-408
Explicit discontinuous Galerkin methods for unsteady problems
Computers and Fluids 61 (2012), 86-93.
Visualization of Advection-Diffusion in Unsteady Fluid Flow
Computer Graphics Forum 31 (2012), 1105–1114
A discontinuous Galerkin based multiscale method for compressible multiphase flow.
ICCFD 2012, 7th International Conference on Computational Fluid Dynamics, Hawaii, USA, 2012
Direct numerical simulation of compressible multiphase flow using a discontinuous Galerkin based multiscale approach.
ICLASS 2012, 12th International Conference on Liquid Atomization and Spray Systems, Heidelberg, Germany, 2012
A High Order Sharp-Interface Method with Local Time Stepping for Compressible Multiphase Flows
Commun. Comput. Phys. 9 (2011), 205-230
Visualization of Cell-Based Higher-Order Fields.
Comput.Sci. Eng. 13: 84-91, 2011.
A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes
J. Comput. Phys. 224 (2007), 1049-1063
