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[CT146]

Session Time & Room : 4E (Aug.24, 17:40-19:20) @D401
Type : Contributed Talk
Abstract : Variational iteration method, VIM, is employed to solve analytic solutions of shallow water wave equations. For its linearized models we compute a periodic numerical example, and a symbolic one with unprescribed initial conditions and parameters. Both examples are found their explicit exact solutions by VIM. Then we turn to some nonlinear models and obtain their highly accurate approximate solutions. We concluded that VIM is very effective for shallow water wave problems and other nonlinear PDEs.
Classification : 76M30, 35F55, 35C05, 35C10, shallow water wave
Format : Talk at Waseda University
Author(s) :
- Tzon-Tzer Lu (Department of Applied Mathematics, National Sun Yat-sen University)

Session Time & Room : 4E (Aug.24, 17:40-19:20) @D401
Type : Contributed Talk
Abstract : Glacial ice slides due to lubrication by a thin film of water. Separation of ice from the bed results in water-filled cavities that modulate the stress balance, with important implications for glacier flow. We model the problem as a linearised Stokes flow over a wavy boundary. Complex variable methods are used to solve a Riemann-Hilbert problem that is coupled to a kinematic equation for cavity size. The model is used to discuss glacier friction laws.
Classification : 76M40, 86A40, 76D07, 76M45
Format : Talk at Waseda University
Author(s) :
- Ian Hewitt (University of Oxford)

Session Time & Room : 4E (Aug.24, 17:40-19:20) @D401
Type : Contributed Talk
Abstract : In this work, we will present a new numerical scheme that combines the Generalized Lie Derivative in a Lagrangian framework with the finite difference method. The viscoelastic models with the upper-convected time derivative term are rewritten in order to improve the stability of the method. Moreover, the proposed scheme can also be applied to study the High Weissenberg Number Problems.
Classification : 76M20, 76A10, 65M50
Format : Talk at Waseda University
Author(s) :
- jose Alberto Cuminato (University of São Paulo)
- Cassio Machiavelli Oishi (São Paulo State University)
- Debora de Oliveira Medeiros (University of São Paulo)

Session Time & Room : 4E (Aug.24, 17:40-19:20) @D401
Type : Contributed Talk
Abstract : The barotropic vorticity equations describe the conservation of absolute vorticity for a fluid on a rotating sphere. When transformed appropriately, one can rewrite these with a Biot-Savart integral, and with a Lagrangian discretization, one can arrive at a discretized system with an update taking the form of a N-body sum. In this talk, I present a fast summation technique that reduces the asymptotic complexity of this sum from $O(N^2)$ to $O(N\log{N})$ with a new spherical tree code, suitable for a wide range of problems in geophysical fluid dynamics.
Classification : 76M28, 76U99, 65M75, 86A08
Format : Talk at Waseda University
Author(s) :
- Anthony Chen (University of Michigan, Ann Arbor)

Session Time & Room : 4E (Aug.24, 17:40-19:20) @D401
Type : Contributed Talk
Abstract : Inverse problems find their applications in various thermo-fluid systems. The present work aims to develop a computational framework using fast Bayesian inference, which leads to forward uncertainty propagation in various thermo-fluid models and solves the corresponding inverse problems. The framework leverages the polynomial chaos expansions (PCEs) to generate a computationally efficient and statistically equivalent surrogate model of the computationally expensive forward model and dimensionality reduction based on Karhunen-Loeve (K-L) expansion.
Classification : 76M21, 80A23, 86A22
Format : Online Talk on Zoom
Author(s) :
- SUFIA KHATOON (Indian Institute of Technology Delhi)