Essays about: "shallow water equations"

Showing result 1 - 5 of 13 essays containing the words shallow water equations.

  1. 1. Data Assimilation for Systems with Multiple Timescales

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Dan Vicente Ihanus; [2023]
    Keywords : Mathematics; Partial Differential Equations; Numerical analysis; Data assimilation; Numerical weather prediction; Ensemble Kalman Filter;

    Abstract : This text provides an overview of problems in the field of data assimilation. We explore the possibility of recreating unknown data by continuously inserting known data into certain dynamical systems, under certain regularity assumptions. READ MORE

  3. 2. Solving Korteweg-de Vries equations with Discontinuous Galerkin methods

    University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Markus Hellberg Mediaa; [2023]
    Keywords : Discontinuous Galerkin; Korteweg-de Vries; Conservation Laws; Partial Differential Equations; Numerical methods; Higher order spatial derivative; Heat Equation; Burgers’ Equation; Collocation; Lobatto Gauss Legendre; Stiffness; Nodal Approximation; Finite Volume; Finite Element;

    Abstract : In this thesis the Discontinuous Galerkin approximation performance applied to the Korteweg–de Vries equation is investigated. This equation is nonlinear with a third spatial derivative and can be used for shallow water movement. READ MORE

  4. 3. Surf Simulation with the Shallow Water Equations : Coupling of a surfer model to a shallow water wave

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Anton Thorell; [2021]
    Keywords : ;

    Abstract : This thesis covers the subject of deriving and solving the system of partial differential equations known as the Shallow Water Equations (SWE), and coupling the solutions of this equation system to a simplified model of a surfer - or any floating object, with the right choice of parameters. The SWE are generally used to analyze fluid movement on shallow areas, such as ocean waves nearing the shore, and are derived from the Navier-Stokes equations and restricted to conservation of mass and momentum in a fluid. READ MORE

  5. 4. A residual based artificialviscosity method for the stabilizationof the shallow water equations

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Charitini Stavropoulou; [2021]
    Keywords : ;

    Abstract : The shallow water equations (SWE) are a system of nonlinear hyperbolic partial differential equations, that have been widely used to modelflows in rivers and coastal areas. For many practical purposes, such as flood mitigation and coastal protection, it is extremely important to develop an accurate, efficient, and robust numerical solver. READ MORE

  6. 5. Hydraulic modelling of the vulnerability for compounding high sea levels and high river discharge on the Swedish coastline

    University essay from Lunds universitet/Avdelningen för Teknisk vattenresurslära

    Author : Hannah Berk; [2020]
    Keywords : Coastal floods; combined compound flood events; fluvial floods; LISFLOOD-FP; hydraulic modelling; Earth and Environmental Sciences;

    Abstract : Coastal floodplains are at risk for combined high discharge and sea level events. Consequences when they occur can be several magnitudes greater than the impact from any isolated event. READ MORE