The exact FZZT brane partition function for topological gravity with matter is computed using the dual two-matrix model. We show how the effective theory of open strings on a stack of FZZT branes is described by the generalized Kontsevich matrix integral, extending the earlier result for pure topological gravity. Using the well-known relation between the Kontsevich integral and a certain shift ...

A direct algorithm for evaluating hypersingular integrals arising in a three-dimensional Galerkin boundary integral analysis is presented. By integrating two of the four dimensions analytically, the coincident integration, deened as a limit to the boundary, is shown to be divergent. However, the divergent terms can be explicitly calculated and shown to cancel with corresponding singularities in...

We present the application of the boundary integral equation method for solving the motion of biological cell or particle under Stokes flow in the presence of electrostatic field. The huge dense matrix-vector product from the boundary integral method poses a computationally challenging problem for solving the large system of equations generated. In our work, we used the precorrectedFFT (pFFT) m...

A Modified Nodal Integral Method (MNIM) for three-dimensional, incompressible Navier-Stokes (N-S) equations has recently been developed. MNIM requires relatively less number of grid points for the desired accuracy. The Parallel MNIM (PMNIM) is developed in order to further enhance its capabilities. Since template of the nodal integral method is quite different from those that result from finite...

We study energy transfer in unbounded Charney-Hasegawa-Mima and surface quasigeostrophic turbulence. The possible inverse-cascading quantities in these systems are, respectively, I identical with integral ( infinity )(0)k(-2)E(k) dk and J identical with integral ( infinity )(0)k(-1)E(k) dk, where E(k) is the kinetic energy spectrum. The supposed direct-cascading quantities for both surface quas...

We study the low Reynolds number flow of an incompressible Newtonian fluid of infinite expanse past a cylinder of arbitrary cross section by using the method of matched asymptotic expansions. The analysis that will be made in this paper is equivalent to that developed by Power (1990) in order to solve the resulting inner (or Stokes) problems with the completed double-layer boundary integral equ...

We present a new method for the solution of the Stokes equations. The main features of our method are: (1) it can be applied to arbitrary geometries in a black-box fashion; (2) it is second-order accurate; and (3) it has optimal algorithmic complexity. Our approach, to which we refer as the embedded boundary integral method (EBI), is based on Anita Mayo s work for the Poisson s equation: ‘‘The ...

In this paper, the scaling-law vector calculus, which is related to connection between calculus and scaling law in fractal geometry, addressed based on Leibniz derivative Stieltjes integral for first time. The Gauss-Ostrogradsky-like theorem, Stokes-like Green-like identities are considered sense of calculus. Navier-Stokes-like equations obtained detail. result as a potentially mathematical too...

Aiming at the large scale numerical simulation of particle reinforced materials, the concept of local Eshelby matrix has been introduced into the computational model of the eigenstrain boundary integral equation (BIE) to solve the problem of interactions among particles. The local Eshelby matrix can be considered as an extension of the concepts of Eshelby tensor and the equivalent inclusion in ...

The homogeneity and efficiency of moisture removal from coffee beans depend on the airflow patterns inside drying chambers used for drying. This study aimed to implement a porous medium model simulate through mesh trays containing parchment ripe fruit ( Coffea arabica L.) using computational fluid dynamics (CFD). geometry was simplified as spherical semi-ellipsoidal, respectively. pressure drop...