Oceanography

August 13, 2024 — August 13, 2024

Gaussian
Hilbert space
kernel tricks
spatial
statistics
stochastic processes
time series

One of the really big spatiotemporal systems: the ocean. Pairs with atmospheric science and computational fluid dynamics.

Figure 1: After a while browsing historical books, the sheer frequency of bare-breasted ladies exemplifying the dangerous ocean is striking. What is going on, society?

FUNWAVE Documentation

UNWAVE–TVD is the Total Variation Diminishing (TVD) version of the fully nonlinear Boussinesq wave model (FUNWAVE) developed by Shi et al. (2012). The FUNWAVE model was initially developed by Kirby et al. (1998) based on Wei et al. (1995). The development of the present version was motivated by recent needs for modeling of surfzone–scale optical properties in a Boussinesq model framework, and modeling of Tsunami waves in both a global/coastal scale for prediction of coastal inundation and a basin scale for wave propagation.

This version features several theoretical and numerical improvements, including:

  1. A more complete set of fully nonlinear Boussinesq equations;
  2. Monotonic Upwind Scheme for Conservation Laws (MUSCL)–TVD solver with adaptive Runge–Kutta time stepping;
  3. Shock–capturing wave breaking scheme;
  4. Wetting–drying moving boundary condition with incorporation of Harten-Lax-van Leer (HLL) construction method into the scheme;
  5. Lagrangian tracking;
  6. Option for parallel computation.

The most recent developments include ship-wake generation (Shi et al. 2018), meteo-tsunami generation (Woodruff et al. 2018), and sediment transport and morphological changes [Malej, Shi, and Smith (2019),WoodruffEstimating2018

1 References

Anderson. 2009. “Ensemble Kalman Filters for Large Geophysical Applications.” IEEE Control Systems Magazine.
Evensen. 2003. “The Ensemble Kalman Filter: Theoretical Formulation and Practical Implementation.” Ocean Dynamics.
———. 2009. Data Assimilation - The Ensemble Kalman Filter.
Jessell, Guo, Li, et al. 2022. “Into the Noddyverse: a massive data store of 3D geological models for machine learning and inversion applications.” Earth System Science Data.
Kirby, Wei, Chen, et al. 1998. “FUNWAVE 1.0 Fully Nonlinear Boussinesq Wave Mode. Documentation and User’s Manua.”
Malej, Shi, and Smith. 2019. “Modeling Ship-Wake-Induced Sediment Transport and Morphological Change – Sediment Module in FUNWAVE-TVD.”
Qian. 2023. “Xinvert: A Python Package for Inversion Problems in Geophysical Fluid Dynamics.” Journal of Open Source Software.
Routray, Osuri, Pattanayak, et al. 2016. “Introduction to Data Assimilation Techniques and Ensemble Kalman Filter.” In Advanced Numerical Modeling and Data Assimilation Techniques for Tropical Cyclone Prediction.
Shi, Kirby, Harris, et al. 2012. “A High-Order Adaptive Time-Stepping TVD Solver for Boussinesq Modeling of Breaking Waves and Coastal Inundation.” Ocean Modelling.
Shi, Malej, Smith, et al. 2018. “Breaking of Ship Bores in a Boussinesq-Type Ship-Wake Model.” Coastal Engineering.
Tehranirad. 2016. “Does Morphological Adjustment During Tsunami Inundation Increase Levels of Hazard?” In 2016 AGU Fall Meeting.
Wei, Kirby, Grilli, et al. 1995. “A Fully Nonlinear Boussinesq Model for Surface Waves. Part 1. Highly Nonlinear Unsteady Waves.” Journal of Fluid Mechanics.
Woodruff, Kirby, Shi, et al. 2018. “Estimating Meteo-Tsunami Occurrences for the Us East Coast.” Coastal Engineering Proceedings.