The numerical analysis of precision quartz oscillator simulation: An area-corrected flux finite-volume scheme

A thermal model for simulating ovenized precision quartz oscillators is presented. A new finite-volume method based on Cartesian grids is presented. The new finite-volume method is evaluated using a number of test problems and numerical predictions calculated using an immersed-interface method. The new finite-volume method is found to have slightly poorer accuracy than the immersed-interface method; however, the difference between the two numerical method predictions decreases as the test problems have more of the characteristics encountered in quartz oscillators. The advantage of the new finite-volume method is that its extension to three-dimensional problems is trivial.