All Outputs (11)

A Radiation Model of a Rapid Thermal Processing System (2011)
Journal Article
Wacher, A., & Seymour, B. (2011). A Radiation Model of a Rapid Thermal Processing System. Mathematics-in-industry case studies, 3, 1-18

A model of the radiative heat transfer that takes place in an axially symmetric rapid thermal processing chamber is presented. The model is derived using the theory of shape factors, and is used to predict how chamber geometry and materials affect te... Read More about A Radiation Model of a Rapid Thermal Processing System.

Investigating Chemotaxis in 2D with Moving Finite Elements (2010)
Presentation / Conference Contribution
Wacher, A., Simos, T. E., Psihoyios, G., & Tsitouras, C. (2010, September). Investigating Chemotaxis in 2D with Moving Finite Elements. Presented at International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece

We numerically investigate a two dimensional model of aggregation of microglia in two spatial dimensions using the String Gradient Weighted Moving Finite Element method.

Mathematical and numerical modeling of the AquaBuOY wave energy converter (2010)
Journal Article
Wacher, A., & Nielsen, K. (2010). Mathematical and numerical modeling of the AquaBuOY wave energy converter. Mathematics-in-industry case studies, 2, 16-33

This paper presents the mathematical modeling and numerical methodology performed prior to the prototype deployment of the AquaBuOY, one of the few wave energy devices that have reached the ocean deployment stage. The combination of numerical computa... Read More about Mathematical and numerical modeling of the AquaBuOY wave energy converter.

Comprehensive assessment of T cell receptor beta chain diversity in alpha beta T cells (2009)
Journal Article
Robins, H. S., Campregher, P. V., Srivastava, S. K., Wacher, A., Turtle, C. J., Kahsai, O., …Carlson, C. S. (2009). Comprehensive assessment of T cell receptor beta chain diversity in alpha beta T cells. Blood, 114(19), 4099-4107. https://doi.org/10.1182/blood-2009-04-217604

Solution of Non-linear Dispersive Wave Problems Using a Moving Finite Element Method (2007)
Journal Article
Wacher, A., & Givoli, D. (2007). Solution of Non-linear Dispersive Wave Problems Using a Moving Finite Element Method. Communications in numerical methods in engineering, 23(4), 253-262. https://doi.org/10.1002/cnm.897

The solution of the fully non-linear time-dependent two-dimensional shallow water equations is considered. Dispersive effects due to the Coriolis forces are taken into account. Such effects are of major importance in geophysical fluid dynamics applic... Read More about Solution of Non-linear Dispersive Wave Problems Using a Moving Finite Element Method.

String Gradient Weighted Moving Finite Elements in Multiple Dimensions with Applications in Two Dimensions (2007)
Journal Article
Wacher, A., & Sobey, I. (2007). String Gradient Weighted Moving Finite Elements in Multiple Dimensions with Applications in Two Dimensions. SIAM Journal on Scientific Computing, 29(2), 459-480. https://doi.org/10.1137/040619557

We formulate the string gradient weighted moving finite element method (SGWMFE) for systems of PDEs in multiple dimensions. Then we illustrate implementation issues for the method using two dimensions. The method is applied successfully to solve the... Read More about String Gradient Weighted Moving Finite Elements in Multiple Dimensions with Applications in Two Dimensions.

Remeshing and Refining with Moving Finite Elements. Application to Nonlinear Wave Problems (2006)
Journal Article
Wacher, A., & Givoli, D. (2006). Remeshing and Refining with Moving Finite Elements. Application to Nonlinear Wave Problems. Computer Modeling in Engineering & Sciences, 15(3), 147-164. https://doi.org/10.3970/cmes.2006.015.147

The recently proposed String Gradient Weighted Moving Finite Element (SGWMFE) method is extended to include remeshing and refining. The method simultaneously determines, at each time step, the solution of the governing partial differential equations... Read More about Remeshing and Refining with Moving Finite Elements. Application to Nonlinear Wave Problems.

MMPDE vs. SGWMFE Experiments in one dimension (2005)
Report
Wacher, A. (2005). MMPDE vs. SGWMFE Experiments in one dimension. [No known commissioning body]

We compare experimentally Moving Mesh Partial Differential Equations (Huang et al. (1994)) to the String Gradient Weighted Moving Finite Element Method (Wacher et al. (2003)) applied to the viscous Burgers equation and to the porous medium equation i... Read More about MMPDE vs. SGWMFE Experiments in one dimension.

String Gradient Weighted Moving Finite Elements (2005)
Journal Article
Wacher, A., Sobey, I., & Miller, K. (2005). String Gradient Weighted Moving Finite Elements. International Journal for Numerical Methods in Fluids, 47(10-11), 1329-1336. https://doi.org/10.1002/fld.872

String Gradient Weighted Moving Finite Elements (2004)
Presentation / Conference Contribution
Wacher, A., Sobey, I., & Miller, K. (2023, March). String Gradient Weighted Moving Finite Elements. Presented at International Conference on Numerical Methods for Fluid Dynamics : ICFD, Oxford, UK

String Gradient Weighted Moving Finite Elements for systems of Partial Differential Equations I (2003)
Report
Wacher, A., Sobey, I., & Miller, K. (2003). String Gradient Weighted Moving Finite Elements for systems of Partial Differential Equations I. [No known commissioning body]

Moving finite element methods resolve regions containing steep gradients using a manageable number of moving nodes. One such implementation is Gradient Weighted Moving Finite Elements (GWMFE). When applied to a single PDE with one space variable x, t... Read More about String Gradient Weighted Moving Finite Elements for systems of Partial Differential Equations I.