CMU Applied and Computational Mathematics Seminar

Spring 2020

Organizers

If you would like to give a talk, please email any one of us.

Meeting Times

Fridays, 1:00pm – 2:00pm, in Pearce 223. 

Past seminars: Fall 2014, ...

Schedule

Date

Speaker

Title

1/24/20

Peimeng Yin (Wayne State University)

Efficient discontinuous Galerkin (DG) methods for time-dependent fourth order problems

1/31/20

TBA

TBA

2/7/20

TBA

TBA

2/14/20

TBA

TBA

2/21/20

Mohye Sweidan (CMU) 

Analysis of Shortley-Weller scheme -I

2/28/20

Mohye Sweidan (CMU) 

Analysis of Shortley-Weller scheme  -II

3/6/20, (3pm-4pm)

TBA

TBA

3/20/20

Donghyun Shin (CMU)

New Concept and Materials for Thermal Energy Storage in Concentrated Solar Power 

3/26/20

TBA

TBA

4/2/20

TBA

TBA

4/9/20

TBA

TBA

4/16/20

TBA

TBA

4/23/20

TBA

TBA

4/30/20

TBA

TBA

 

 

 

Speaker: Peimeng Yin
Title: Efficient discontinuous Galerkin (DG) methods for time-dependent fourth order problems
Abstract: We design, analyze and implement efficient discontinuous Galerkin (DG) methods for a class of fourth order time-dependent partial differential equations (PDEs). The main advantages of such schemes are their provable unconditional stability, high order accuracy, and their easiness for generalization to multi-dimensions for arbitrarily high order schemes on structured and unstructured meshes. These schemes have been applied to two fourth order gradient flows such as the Swift-Hohenberg (SH) equation and the Cahn-Hilliard (CH) equation, which are well known nonlinear models in modern physics.

Speaker: Mohye Sweidan
Title: Analysis of Shortley-Weller scheme
Abstract: This series of talks aim to present the whole proof of the super-convergence of the classic Shortley-Weller scheme for Poisson problems with curved domains. This proof was provided by LIsl Waynans in 2018( Super-Convergence in Maximum Norm of the Gradient for the Shortley-Weller Method, Journal of Scientific Computing, 75:625-637).

Speaker: Donghyun Shin
Title: New Concept and Materials for Thermal Energy Storage in Concentrated Solar Power
Abstract: Concentrated solar power (CSP) is a commercial solar-to-electric technology that can provide utility-scale and dispatchable electricity to meet the actual utility load demand. This can be done by the incorporation of significant thermal energy storage (TES). TES stores additional heat in the daytime and supplies the heat it in the nighttime to produce electricity continuously. Thus, it can solve one of the biggest challenges of renewable energy, the intermittency of energy supply. Hence, TES makes CSP unique among renewable technologies to potentially replace conventional fossil-fueled power plants. However, due to a high TES cost, the cost of electricity produced by CSP is not cost-competitive with fossil-fuels. One way to improve the economics of the TES system is to enhance the storage density of the TES medium. Enhancing storage fluid’s thermal capacity can significantly decrease the mass and volume of the TES medium and, as a result, the structures of thermal storage and transport systems (e.g., tank, pipe, and heat exchanger) can be minimized. This talk will present several technologies that can improve the cost and performance of existing and future TES systems. They include molten salt nanomaterials, in-situ synthesis of nanostructure in a storage medium, micro-encapsulation of a phase change storage, etc.

Speaker: TBA
Title:
Abstract: