Higher order corrections in the approximation of low-dimensional manifolds and the construction of simplified problems with the CSP method

By M. Valorani, Dimitris A. Goussis, F. Creta, Habib N. Najm. 2005

97 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/894b16567058eefc1b8109b60f21d577f26c16fe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Viatcheslav Bykov
2. Ulrich Maas

In Computational Mechanics

1. Jacqueline H. Chen
2. Chun Sang Yoo
3. Chung K. Law
4. Tianfeng Lu
5. Viatcheslav Bykov
6. Ulrich Maas
7. Dimitris A. Goussis
8. Ramanan Sankaran

In Numerical Analysis

1. Viatcheslav Bykov
2. Ulrich Maas
3. Jacqueline H. Chen
4. Chun Sang Yoo

Citations in the corpus

• Three-dimensional direct numerical simulation of a turbulent lifted hydrogen jet flame in heated coflow: a chemical explosive mode analysis (2010, background): “…including the identification of quasi-steady state (QSS) species (Massias et al. 1999a, 1999b; Lu, Ju & Law 2001; Lu & Law 2008), elimination of unimportant species and reactions (Valorani et al. 2006) and stiffness removal (Valorani et al. 2005; Goussis & Valorani 2006; Lee et al. 2007).”
• The extension of the ILDM concept to reaction–diffusion manifolds (2007, methodology): “Furthermore, it has been applied to many different combustion problems [ 24 , 16 ].”
• Quasi steady state and partial equilibrium approximations: their relation and their validity (2012, background): “CSP derives these results in an iterative fashion; the iterations increase the accuracy by O( ) and improve the stability of the slow system [52, 61].”