Spectral simulation of light propagation in participating media by using a lattice Boltzmann method for photons
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Researchers recently are more inclined to utilize the RTE to predict light propagation in photobioreactors.
“While in earlier publications Lambert's law and its modifications were frequently applied, researchers recently are more inclined to utilize the RTE to predict light propagation in photobioreactors [26,84,133,196,202], which is justified by its higher accuracy [79,133].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [202]
There is a trade-off between accuracy and computational costs when simulating radiative transfer with spectral characteristics.
“As the recognition of the spectral characteristics of light makes simulations of radiative transfer much more demanding, there is a trade-off between accuracy and computational costs [202].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [202]
Cites
Environmental applications of semiconductor photocatalysis
Hoffmann, M. R., Martin, S. T., Choi, W., & Bahnemann, D. W. (1995) · Chemical Reviews · doi:10.1021/cr00033a004 · Cited by 18,495 · see citing works
Computational Methods for Fluid Dynamics
Ferziger, J. H., Perić, M., & Leonard, A. (1997) · Physics Today · doi:10.1063/1.881751 · Cited by 6,023 · see citing works
(2013) · Elsevier eBooks · doi:10.1016/c2010-0-65874-3 · Cited by 5,047 · see citing works
The Lattice Boltzmann Equation for Fluid Dynamics and Beyond
Succi, S. (2001) · doi:10.1093/oso/9780198503989.001.0001 · Cited by 4,203 · see citing works
The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond
Yeomans, J. M. (2001) · Cited by 2,692 · see citing works
Valuable Products from Biotechnology of Microalgae
Pulz, O., & Gross, W. (2004) · Applied Microbiology and Biotechnology · doi:10.1007/s00253-004-1647-x · Cited by 2,132 · see citing works
Mathematical formulation of the relationship between photosynthesis and light for phytoplankton
Jassby, A. D., & Platt, T. (1976) · Limnology and Oceanography · doi:10.4319/lo.1976.21.4.0540 · Cited by 2,086 · see citing works
Lattice-Boltzmann method for complex flows
Aidun, C. K., & Clausen, J. R. (2010) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-121108-145519 · Cited by 1,991 · see citing works
Going deeper than microscopy: the optical imaging frontier in biology
Ntziachristos, V. (2010) · Nature Methods · doi:10.1038/nmeth.1483 · Cited by 1,896 · see citing works
High-value products from microalgae—their development and commercialisation
Borowitzka, M. A. (2013) · Journal of Applied Phycology · doi:10.1007/s10811-013-9983-9 · Cited by 1,585 · see citing works
Thermal Radiation Heat Transfer
Howell, J. R., Menguc, M. P., & Siegel, R. (2015) · doi:10.1201/b18835 · Cited by 1,383 · see citing works
Lattice-Boltzmann Simulations of Particle-Fluid Suspensions
Ladd, A. J. C., & Verberg, R. (2001) · Journal of Statistical Physics · doi:10.1023/a:1010414013942 · Cited by 1,183 · see citing works
Computational methods for fluid dynamics
(2003) · Computers & Mathematics with Applications · doi:10.1016/s0898-1221(03)90046-0 · Cited by 1,144 · see citing works
Light requirements in microalgal photobioreactors: an overview of biophotonic aspects
Carvalho, A. P., Silva, S. O., Baptista, J. M., & Malcata, F. X. (2011) · Applied Microbiology and Biotechnology · doi:10.1007/s00253-010-3047-8 · Cited by 521 · see citing works
Kinetic Theory of Particles and Photons
Oxenius, J. (1986) · Springer eBooks · doi:10.1007/978-3-642-70728-5 · Cited by 239 · see citing works
Radiation transfer in photobiological carbon dioxide fixation and fuel production by microalgae
Pilon, L., Berberoğlu, H., & Kandilian, R. (2011) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2011.07.004 · Cited by 193 · see citing works
The issue of numerical uncertainty
Freitas, C. J. (2002) · Applied Mathematical Modelling · doi:10.1016/s0307-904x(01)00058-0 · Cited by 180 · see citing works
Asinari, P., Mishra, S. C., & Borchiellini, R. (2010) · Numerical Heat Transfer Part B Fundamentals · doi:10.1080/10407791003613769 · Cited by 132 · see citing works
BERBEROGLU, H., PILON, L., & MELIS, A. (2008) · International Journal of Hydrogen Energy · doi:10.1016/j.ijhydene.2008.07.071 · Cited by 108 · see citing works
Blanken, W., Postma, P. R., de Winter, L., Wijffels, R. H., & Janssen, M. (2016) · Algal Research · doi:10.1016/j.algal.2015.12.020 · Cited by 99 · see citing works
Light transfer in bubble sparged photobioreactors for H2 production and CO2 mitigation
BERBEROGLU, H., YIN, J., & PILON, L. (2007) · International Journal of Hydrogen Energy · doi:10.1016/j.ijhydene.2007.02.018 · Cited by 96 · see citing works
Notes on the Adaptive Simpson Quadrature Routine
Lyness, J. N. (1969) · Journal of the ACM · doi:10.1145/321526.321537 · Cited by 91 · see citing works
Radiative or neutron transport modeling using a lattice Boltzmann equation framework
Bindra, H., & Patil, D. V. (2012) · Physical Review E · doi:10.1103/physreve.86.016706 · Cited by 65 · see citing works
Kong, B., & Vigil, R. D. (2014) · Bioresource Technology · doi:10.1016/j.biortech.2014.01.052 · Cited by 64 · see citing works
Lattice Boltzmann method for one-dimensional radiation transfer
Ma, Y., Dong, S., & Tan, H.-P. (2011) · Physical Review E · doi:10.1103/physreve.84.016704 · Cited by 58 · see citing works
Kandilian, R., Pruvost, J., Artu, A., Lemasson, C., Legrand, J., & Pilon, L. (2016) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2016.01.031 · Cited by 58 · see citing works
Free surface lattice Boltzmann with enhanced bubble model
Anderl, D., Bogner, S., Rauh, C., Rüde, U., & Delgado, A. R. (2013) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2013.06.007 · Cited by 57 · see citing works
Self-citationLattice Boltzmann model for a steady radiative transfer equation
Yi, H.-L., Yao, F.-J., & Tan, H. (2016) · Physical review. E · doi:10.1103/physreve.94.023312 · Cited by 49 · see citing works
Geist, R., Rasche, K., Westall, J. M., & Schalkoff, R. J. (2004) · Eurographics · doi:10.2312/egwr/egsr04/355-362 · Cited by 48 · see citing works
One-dimensional transient radiative transfer by lattice Boltzmann method
Zhang, Y., Yi, H.-L., & Tan, H. (2013) · Optics Express · doi:10.1364/oe.21.024532 · Cited by 40 · see citing works
A 3D Lattice Boltzmann method for light simulation in participating media
Mink, A., Thäter, G., Nirschl, H., & Krause, M. J. (2016) · Journal of Computational Science · doi:10.1016/j.jocs.2016.03.014 · Cited by 39 · see citing works
Coupled radiative and conjugate heat transfer in participating media using lattice Boltzmann methods
McCulloch, R., & Bindra, H. (2015) · Computers & Fluids · doi:10.1016/j.compfluid.2015.05.024 · Cited by 38 · see citing works
Mishra, S. C., & Vernekar, R. R. (2012) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2012.06.009 · Cited by 36 · see citing works
Multiple scattering of polarized light in a turbid medium
Gorodnichev, E. E., Kuzovlev, A. I., & Rogozkin, D. B. (2007) · Journal of Experimental and Theoretical Physics · doi:10.1134/s1063776107020161 · Cited by 25 · see citing works
McHardy, C., Horneber, T., & Rauh, C. (2016) · Optics Express · doi:10.1364/oe.24.016999 · Cited by 24 · see citing works
Self-citationLattice Boltzmann method for solving non-equilibrium radiative transport problems
Gairola, A., & Bindra, H. (2016) · Annals of Nuclear Energy · doi:10.1016/j.anucene.2016.08.011 · Cited by 20 · see citing works
Anderl, D., Bauer, M., Rauh, C., Rüde, U., & Delgado, A. R. (2014) · Food & Function · doi:10.1039/c3fo60374a · Cited by 18 · see citing works
Self-citationLattice Boltzmann method for short-pulsed laser transport in a multi-layered medium
Zhang, Y., Yi, H.-L., & Tan, H. (2015) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2015.01.008 · Cited by 12 · see citing works
Light scattering regimes along the optical axis in turbid media
Campbell, S. D., O’Connell, A. K., Menon, S., Su, Q. C., & Grobe, R. (2006) · Physical Review E · doi:10.1103/physreve.74.061909 · Cited by 10 · see citing works
Propagation of circularly polarized light in media with large-scale inhomogeneities
Gorodnichev, E. E., Kuzovlev, A. I., & Rogozkin, D. B. (1999) · Journal of Experimental and Theoretical Physics · doi:10.1134/1.558812 · Cited by 9 · see citing works
Handling sparse spatial data in ecological applications
Embleton, N. (2015) · University of Birmingham Institutional Research Archive (University of Birmingham) · Cited by 2 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44 · see citing works
Self-citationMink, A., Schediwy, K., Posten, C., Nirschl, H., Simonis, S., & Krause, M. J. (2022) · Energies · doi:10.3390/en15207671 · Cited by 30 · see citing works
Numerical analysis of the effects of air on light distribution in a bubble column photobioreactor
McHardy, C., Luzi, G., Lindenberger, C., Agudo, J. R., Delgado, A., & Rauh, C. (2018) · Algal Research · doi:10.1016/j.algal.2018.02.016 · Cited by 25 · see citing works
Self-citationLuzi, G., McHardy, C., Lindenberger, C., Rauh, C., & Delgado, A. (2019) · Algal Research · doi:10.1016/j.algal.2018.101404 · Cited by 24 · see citing works
Self-citationMink, A., McHardy, C., Bressel, L., Rauh, C., & Krause, M. J. (2020) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2019.106810 · Cited by 19 · see citing works
Self-citationLattice Boltzmann Method for Conduction and Radiation Heat Transfer in Composite Materials
Tong, Z.-X., Li, M.-J., Xie, T., & Gu, Z. (2022) · Journal of Thermal Science · doi:10.1007/s11630-022-1524-x · Cited by 19 · see citing works
Numerical study of thermal radiation heat transfer using lattice Boltzmann method
Souai, S., Baakeem, S. S., Trabelsi, S., Sediki, E., & Mohamad, A. A. (2022) · Numerical Heat Transfer Part B Fundamentals · doi:10.1080/10407790.2022.2083849 · Cited by 11 · see citing works
A GPU-Accelerated Radiation Transfer Model Using the Lattice Boltzmann Method
Wang, Y., Zeng, X., & Decker, J. W. (2021) · Atmosphere · doi:10.3390/atmos12101316 · Cited by 8 · see citing works
An efficient forward model based on the Lattice Boltzmann method for optical tomography
Cen, X., Yan, Z., Jiang, J., & Wu, H. (2019) · Optik · doi:10.1016/j.ijleo.2019.163457 · Cited by 3 · see citing works
An efficient lattice Boltzmann method for fluorescent diffuse optical tomography on GPUs
Wu, H., Yan, Z., Cen, X., & Jiang, J. (2020) · Optical Review · doi:10.1007/s10043-020-00613-9
Mink, A., Schediwy, K., Haussmann, M., Posten, C. H., Nirschl, H., & Krause, M. J. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2107.09411
Trabelsi, S., Souai, S., Garrouri, S., & Sediki, E. (2026) · Physica Scripta · doi:10.1088/1402-4896/aeabdb
- Authors
- McHardy, C., Horneber, T., & Rauh, C.
- Affiliations
- Technische Universität Berlin (DE)
- Corresponding author
- McHardy, Christopher
- Venue
- Applied Mathematics and Computation
- Publisher
- Elsevier BV
- Published
- 2018-02
- Volume
- 319
- Pages
- 59-70
- ISSN
- 0096-3003 (ISSN-L)
- OpenAlex
- W2587585091
- Cited by
- 12
- References
- 41
- Citations by year
- 2026: 1 · 2022: 4 · 2021: 2 · 2020: 1 · 2019: 3 · 2018: 1
- FWCI
- 1.08
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Applied Mathematics and Computation (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Radiative Heat Transfer Studies
- Physical Sciences › Engineering › Computational Mechanics › Lattice Boltzmann Simulation Studies
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Optical Imaging and Spectroscopy Techniques
- Keywords
- participating media, radiative transfer, spectral integration, Newton-Cotes formulas, spectral resolution, phototrophic microorganisms
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
