Numerical simulation of two-dimensional combustion using mesh-free methods

[1]  Robert Schaback,et al.  An improved subspace selection algorithm for meshless collocation methods , 2009 .

[2]  Robert Schaback,et al.  On convergent numerical algorithms for unsymmetric collocation , 2009, Adv. Comput. Math..

[3]  Mohammad Shekarchi,et al.  A Fast Adaptive Wavelet scheme in RBF Collocation for nearly singular potential PDEs , 2008 .

[4]  Robert Schaback,et al.  Stable and Convergent Unsymmetric Meshless Collocation Methods , 2008, SIAM J. Numer. Anal..

[5]  E. Kansa,et al.  Stable PDE Solution Methods for Large Multiquadric Shape Parameters , 2008 .

[6]  L. Eriksson,et al.  Numerical study of turbulent flame velocity , 2007 .

[7]  E. Kansa.  Exact explicit time integration of hyperbolic partial differential equations with mesh free radial basis functions , 2007 .

[8]  A. Cheng,et al.  Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method , 2007 .

[9]  Gregory E. Fasshauer,et al.  Meshfree Approximation Methods with Matlab , 2007, Interdisciplinary Mathematical Sciences.

[10]  Tobin A. Driscoll,et al.  Adaptive residual subsampling methods for radial basis function interpolation and collocation problems , 2007, Comput. Math. Appl..

[11]  J. Wertz,et al.  The role of the multiquadric shape parameters in solving elliptic partial differential equations , 2006, Comput. Math. Appl..

[12]  R. Schaback,et al.  Results on meshless collocation techniques , 2006 .

[13]  Leevan Ling,et al.  Improved numerical solver for Kansa's method based on affine space decomposition , 2005 .

[14]  Leevan Ling,et al.  A least-squares preconditioner for radial basis functions collocation methods , 2005, Adv. Comput. Math..

[15]  E. Kansa,et al.  On Approximate Cardinal Preconditioning Methods for Solving PDEs with Radial Basis Functions , 2005 .

[16]  Christer Fureby,et al.  A fractal flame-wrinkling large eddy simulation model for premixed turbulent combustion , 2005 .

[17]  R. Schefer,et al.  The interaction of flame and flow field in a lean premixed swirl-stabilized combustor operated on H2/CH4/air , 2005 .

[18]  C. S. Chen,et al.  A mesh free approach using radial basis functions and parallel domain decomposition for solving three‐dimensional diffusion equations , 2004 .

[19]  Robert Schaback,et al.  An Adaptive Greedy Algorithm for Solving Large RBF Collocation Problems , 2004, Numerical Algorithms.

[20]  Yc C. Guo,et al.  Structures of scalar transport in 2D transitional jet diffusion flames by LES , 2003 .

[21]  E. Kansa,et al.  Exponential convergence and H‐c multiquadric collocation method for partial differential equations , 2003 .

[22]  Habib N. Najm,et al.  Toward a Flame Embedding Model for Turbulent Combustion Simulation , 2003 .

[23]  B. Fornberg,et al.  Some observations regarding interpolants in the limit of flat radial basis functions , 2003 .

[24]  B. Fornberg,et al.  Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions , 2003 .

[25]  Bengt Fornberg,et al.  Stable Computation of Multiquadric Interpolants for All Values of the Shape Parameter , 2004 .

[26]  E. Kansa,et al.  Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary , 2002 .

[27]  E. Kansa,et al.  Application of Global Optimization and Radial Basis Functions to Numerical Solutions of Weakly Singular Volterra Integral Equations , 2002 .

[28]  T. Driscoll,et al.  Interpolation in the limit of increasingly flat radial basis functions , 2002 .

[29]  K. Yu. Volokh,et al.  Pin-pointing solution of ill-conditioned square systems of linear equations , 2000, Appl. Math. Lett..

[30]  R. C. Aldredge,et al.  Laminar-flame instabilities in a taylor-couette combustor , 2000 .

[31]  E. Kansa,et al.  Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations , 2000 .

[32]  H. Najm,et al.  A Flame Embedding Model for Turbulent Combustion Simulation , 2000 .

[33]  Gregory E. Fasshauer,et al.  Solving differential equations with radial basis functions: multilevel methods and smoothing , 1999, Adv. Comput. Math..

[34]  G. Sivashinsky,et al.  On flame extinction by a spatially periodic shear flow , 1998 .

[35]  Gretar Tryggvason,et al.  A Front Tracking Method for the Motion of Premixed Flames , 1998 .

[36]  An analytical model for flame propagation in low-mach-number, variable-density flow , 1997 .

[37]  Premixed flame propagation in a high-intensity, large-scale vortical flow , 1996 .

[38]  Charles A. Micchelli,et al.  Multiquadric interpolation improved , 1992 .

[39]  W. R. Madych,et al.  Miscellaneous error bounds for multiquadric and related interpolators , 1992 .

[40]  E. Kansa.  MULTIQUADRICS--A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS-- II SOLUTIONS TO PARABOLIC, HYPERBOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS , 1990 .

[41]  E. Kansa.  Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .

[42]  R. L. Hardy.  Theory and applications of the multiquadric-biharmonic method : 20 years of discovery 1968-1988 , 1990 .

[43]  Victor Yakhot,et al.  Propagation Velocity of Premixed Turbulent Flames , 1988 .

[44]  W. Madych,et al.  Multivariate interpolation and condi-tionally positive definite functions , 1988 .

[45]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[46]  C. de Boor,et al.  On the condition of the linear systems associated with discretized BVPs of ODEs , 1986 .

[47]  R. Franke.  Scattered data interpolation: tests of some methods , 1982 .

[48]  R. L. Hardy.  Multiquadric equations of topography and other irregular surfaces , 1971 .

[49]  H. Markstein.  Nonsteady flame propagation , 1964 .