A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation wit...A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation with different orders. The numerical results for the lift and the drag hysteresis associated with a NACA0012 aerofoil oscillating in pitch are good in comparison with available experimental data.展开更多
In this paper, the author extends Ren's results in plane to the case of R2n,i.e., estimates the kinematic measure of a convex domain D1 with boundary Σ1 moving to another domain D0 with boundary Σ0 under the iso...In this paper, the author extends Ren's results in plane to the case of R2n,i.e., estimates the kinematic measure of a convex domain D1 with boundary Σ1 moving to another domain D0 with boundary Σ0 under the isometry group G in R2n. A sufficient condition for D0 contain D1 by using kinematic foundamatal formula and Poincare's formula in Rn is obtained.展开更多
An important class of homogeneous groups N(Φ) is introduced, which includes the distin-guishing boundaries of the Siegel domains of Type Ⅱ. For the sub-Laplacian ? on N(Φ),its basic eigenfunctions are obtained by a...An important class of homogeneous groups N(Φ) is introduced, which includes the distin-guishing boundaries of the Siegel domains of Type Ⅱ. For the sub-Laplacian ? on N(Φ),its basic eigenfunctions are obtained by a direct calculation, the foundamental solution of? is derived from those eigenfunctions, and finally, a solution of ? with singularities isgiven.展开更多
文摘A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation with different orders. The numerical results for the lift and the drag hysteresis associated with a NACA0012 aerofoil oscillating in pitch are good in comparison with available experimental data.
文摘In this paper, the author extends Ren's results in plane to the case of R2n,i.e., estimates the kinematic measure of a convex domain D1 with boundary Σ1 moving to another domain D0 with boundary Σ0 under the isometry group G in R2n. A sufficient condition for D0 contain D1 by using kinematic foundamatal formula and Poincare's formula in Rn is obtained.
文摘An important class of homogeneous groups N(Φ) is introduced, which includes the distin-guishing boundaries of the Siegel domains of Type Ⅱ. For the sub-Laplacian ? on N(Φ),its basic eigenfunctions are obtained by a direct calculation, the foundamental solution of? is derived from those eigenfunctions, and finally, a solution of ? with singularities isgiven.
