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OliverEvansMSThesisFinal.pdf (10.62 MB)

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Modeling the Light Field in Macroalgae Aquaculture

Evans, Oliver Graham, Evans
http://rave.ohiolink.edu/etdc/view?acc_num=akron1542810712432336

Abstract Details

2018, Master of Science, University of Akron, Applied Mathematics.
A mathematical model is developed to describe the light field in vertical line seaweed cultivation to determine the degree to which the seaweed shades itself and limits the amount of light available for photosynthesis. A probabilistic description of the spatial distribution of kelp is formulated using simplifying assumptions about frond geometry and orientation. An integro-partial differential equation called the radiative transfer equation is used to describe the light field as a function of position and angle. A finite difference solution is implemented, providing robustness and accuracy at the cost of large CPU and memory requirements, and a less computationally intensive asymptotic approximation is explored for the case of low scattering. Conditions for applicability of the asymptotic approximation are discussed, and depth-dependent light availability is compared to the predictions of simpler light models. The 3D model of this thesis is found to predict significantly lower light levels than the simpler 1D models, especially in regions of high kelp density where a precise description of self-shading is most important.
Kevin Kreider, Ph.D (Advisor)
Curtis Clemons, Ph.D (Advisor)
Gerald Young, Ph.D (Advisor)
258 p.
Applied Mathematics; Aquaculture; Aquatic Sciences; Ocean Engineering; Optics
Numerical Methods, Partial Differential Equations, PDE, Math Modeling, Mathematical Modeling, Seaweed, Kelp, Light, Radiative Transfer, Aquaculture, Asymptotics, Finite Difference, Error Estimation, Fortran, Verification, Validation, WWTP, IMTA

Recommended Citations

Citations

  • Evans, Evans, O. G. (2018). Modeling the Light Field in Macroalgae Aquaculture [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1542810712432336

    APA Style (7th edition)

  • Evans, Evans, Oliver. Modeling the Light Field in Macroalgae Aquaculture. 2018. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1542810712432336.

    MLA Style (8th edition)

  • Evans, Evans, Oliver. "Modeling the Light Field in Macroalgae Aquaculture." Master's thesis, University of Akron, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=akron1542810712432336

    Chicago Manual of Style (17th edition)

akron1542810712432336
289
© 2018, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.