COMPACT SCHEMES

          Non-reflecting boundary conditions:

1. Muzafarov, I.F. and Utyuzhnikov, S.V., "Application of compact finite-difference schemes to the initial boundary value problem for a hyperbolic system of equations", J. of Computational Mathematics and Mathematical Physics, 1997, V. 37, N3, pp. 299-306.

Adaptive moving meshes:

2. Gan'zha, D.Zh., Muzafarov, I.F., and Utyuzhnikov, S.V., "The use of moving adaptive grids in algorithms with compact approximations", J. of Computational Mathematics and  Mathematical  Physics, 1995, V.35, N8, pp. 949-957.

Shock-capturing compact schemes:

3. Muzafarov, I.F. and Utyuzhnikov, S.V., "Numerical investigation of dissipation processes influence on motion of thermals in stratified atmosphere", Russian J. of Computational Mechanics, 1993, V.1, N3, pp. 103-114.

 

 

ENO SCHEMES ON ADAPTIVE MOVING MESHES

 

4. Rudenko, D.V., and Utyuzhnikov, S.V., “Use of dynamically adaptive grids for modeling three-dimensional unsteady gas flows with high gradients”, J. of Computational Mathematics and Mathematical Physics, 2002, V.42, N3, pp. 377-390.

 

 

PRECONDITIONING TECHNIQUE FOR HIGH-ORDER TVD SCHEMES

 

5. Utyuzhnikov, S.V., Konyukhov, A.V., and Vasil’evskii, S.A., Rudenko D.V., and Chazot O., “Simulation of sub- & supersonic flows in inductive plasmatrons”, AIAA J., 2004, V.42, N9, pp. 1871-1877.