Explicit time discretizations of the immersed boundary method are known to require small timesteps to maintain stability. A number of implicit methods have been introduced to alleviate this restriction to allow for a more efficient method, but many of these methods still have a stability restriction
Development of a parallel implicit solver of fluid modeling equations for gas discharges
β Scribed by Chieh-Tsan Hung; Yuan-Ming Chiu; Feng-Nan Hwang; Jong-Shinn Wu
- Book ID
- 108107620
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 431 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0010-4655
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Numerical fluid models are widely used in gas discharge physics. A typical discharge model comprises continuity equations and drift-diffusion equations for reactive particle species, a balance equation for the electron energy, and Poisson's equation for the electric field. When this system of equati
A new stiff ordinary differential equation solver has been devised that separates the unknown variables into a fast group and a slow group. The fast variables are solved using the implicit backwarddifferentiation formulas but with a Jacobian of much smaller dimension than that of the original sitiff