Essays about: "coupled equations"

Showing result 1 - 5 of 69 essays containing the words coupled equations.

  1. 1. Moderling Acoustic Transmission in Towed Array Sonars : Computations of the coupled acoustic and elastic wave equations

    University essay from KTH/Matematik (Avd.)

    Author : Bill Claesson; [2023]
    Keywords : ;

    Abstract : This thesis presents a method of solving the Helmholtz equation coupled with the Navier-Cauchy equation over a cross section of a Towed Array Sonar (TAS) modeled as a simplified cylindrical shell. The purpose of solving these equations is to estimate the transfer function of the pressure between the outside boundary and a position inside the TAS. READ MORE

  3. 2. Fracture simulation with a hyperelastic phase field model

    University essay from KTH/Hållfasthetslära

    Author : Adrien Fradet; [2023]
    Keywords : Fracture; Phase field modeling; Hyperelasticity; Brott; fasfält-methoden; hyperelasticite;

    Abstract : The phase field method is a versatile tool to study crack initiation and propagation in systems with complex geometries. Based on a variational formulation of the equilibrium equations, the sharp crack topology is regularized by a crack with diffusive edges and the damage is described by a continuous phase field variable. READ MORE

  4. 3. 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

  5. 4. Numerical simulations oflovastatin crystallization in aT-shaped 2D mixer

    University essay from KTH/Optimeringslära och systemteori

    Author : Anton Bergman; [2023]
    Keywords : ;

    Abstract : The rise of battery driven technology and the strive towards circular economy calls for the indefinite recycling of metals used in batteries. To be able to study and optimize the processes used in recycling, mathematical models are required. READ MORE

  6. 5. Synthesizing of brain MRE wave data

    University essay from KTH/Medicinsk avbildning

    Author : Maryia Yuliuhina; [2023]
    Keywords : MR elastography; brain MRE; synthetic data; computational modeling; shear wave elastography; MR-elastografi; hjärn MRE; syntetiska data; beräkningsmodellering; skjuvvåg elastografi;

    Abstract : Magnetic resonance elastography (MRE) is an imaging technique that allows for non-invasive access to the physical properties of body tissues. MRE has great potential, but it is difficult to conduct research due to the time-consuming estimation of stiffness maps, which could be speeded up by using neural network. READ MORE