Advancements in Shallow Water Modeling and Simulation

The field of shallow water modeling and simulation is experiencing significant developments, with a focus on improving the accuracy and efficiency of numerical models. Researchers are exploring innovative approaches to reduce computational time while maintaining accuracy, such as locally adaptive non-hydrostatic models and hyperbolic regularization techniques. Additionally, there is a growing interest in simulating complex vortical evolution and turbulence phenomena using vortex particle flow maps and moment equations. These advancements have the potential to enhance our understanding of free-surface flows and sediment transport in shallow water environments. Noteworthy papers in this area include:

  • The paper on Locally Adaptive Non-Hydrostatic Shallow Water Extension for Moving Bottom-Generated Waves, which proposes a novel adaptive model that reduces computational time by over 50%.
  • The paper on Fluid Simulation on Vortex Particle Flow Maps, which introduces a hybrid Eulerian-Lagrangian representation that enables significantly longer flow map distances than existing methods.

Sources

Locally Adaptive Non-Hydrostatic Shallow Water Extension for Moving Bottom-Generated Waves

Thermal quasi-geostrophic model on the sphere: derivation and structure-preserving simulation

Primitive variable regularization to derive novel Hyperbolic Shallow Water Moment Equations

Fluid Simulation on Vortex Particle Flow Maps

A Coupled Hydro-Morphodynamic Model for Sediment Transport using the Moment Approach

Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Linearized Moment Equations

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