A Versatile Deposition Model for Natural and Processed Surfaces
Abstract
:1. Introduction
2. Theory and Methods
2.1. Modeling Interface Growth in the Kardar-Parisi-Zhang Universality Class
- is time under the derivative of the height function;
- is the surface tension, or diffusion term smoothing the interface,
- is a nonlinear term capturing the local curvature of the interface, promoting the growth in regions with significant local curvature;
- is the Gaussian white noise term representing random fluctuations.
2.2. Random Versus Ballistic Deposition Models
2.3. Proposed Top-Down Modelling Approach
2.3.1. Algorithm
2.3.2. Proof-of-Concept Study and the Target Library
3. Results
3.1. Impact of Model Parameters on the Generated Deposit Morphology
3.2. Generation of Porous Structures
3.3. Proof-of-Concept: Urea Deposit Formation
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
BD | Ballistic Deposition |
FFT | Fast Fourier Transform |
KPZ | Kardar–Parisi–Zhang |
PSD | Power Spectral Density |
RD | Random Deposition |
RMS | Root Mean Square |
SCR | Selective Catalytic Reduction |
SF | Smoothing Factor |
UWS | Urea Water Solution |
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Ates, C.; Koch, R.; Bauer, H.-J. A Versatile Deposition Model for Natural and Processed Surfaces. Dynamics 2024, 4, 233-253. https://doi.org/10.3390/dynamics4020014
Ates C, Koch R, Bauer H-J. A Versatile Deposition Model for Natural and Processed Surfaces. Dynamics. 2024; 4(2):233-253. https://doi.org/10.3390/dynamics4020014
Chicago/Turabian StyleAtes, Cihan, Rainer Koch, and Hans-Jörg Bauer. 2024. "A Versatile Deposition Model for Natural and Processed Surfaces" Dynamics 4, no. 2: 233-253. https://doi.org/10.3390/dynamics4020014