Several years ago Gordon Hugenberger gave an excellent series of sermons at Park Street Church on the book of Judges, which is one of the most violent, disturbing, and confusing books in the Bible. Since Judges is not a popular book for study guides, I found the sermon series to be a valuable reference for understanding the most difficult parts of the book. Gordon makes a convincing case that although the Israelites are in a downward spiral, the Judges actually build toward Samson, who is a prefigurement of Christ.
Unfortunately the sermons were given over several years and are difficult to find on the church website. Below I have collected the sermons and put them in scripture order along with a link to the audio with the hope of making this valuable material accessible to others. Enjoy.
Comparison of (a) simulated and (b)-(c) observed lithiated diamond cores in LixFePO4 single particles.
My postdoc with Prof. Martin Bazant officially ended 6 years ago, but it’s still generating research papers! A paper that we wrote was just published at Electrochemistry Communications, and is available for free at this link until October 28.
Over that time we had been following the progress in advanced microscopy techniques applied to battery materials, and realized that our model of lithium iron phosphate captured many of the features researchers were imaging. The model helped resolve conflicting reports from different researchers who looked at a variety of different size LiFePO4 crystals. The smallest crystals at the nanoscale are controlled by their surface properties, while micron sized crystals are dominated by elastic energy. Just by running larger simulations we observed the transition that experimentalists were imaging. After a bunch of time invested on nights and weekends, this paper is finally finished.
I recently had a paper accepted at the Journal of Computational Physics on removing timestep restrictions in the numerical solution of two-phase flow problems in porous media. The paper can be downloaded for free from the journal until August 23rd by following this link. The idea is to add some carefully constructed phase-field terms that guarantee Newton’s method will converge. This changes the physics a little bit, but a solution to the original equations can be found by reducing the magnitude of these terms to zero over a few Newton updates.
Progression of the homotopy solution during one timestep with a very large dt.