Multi-size-mesh Multi-time-step Dispersion-relation-preserving Scheme for Multiple-scales Aeroacoustics Problems

Parallel Computing Strategy for Multi-Size-Mesh, Multi-Time-Step DRP Scheme

The multi-size-mesh multi-time-step DRP scheme (Tam&Kurbatskii2003) is suited for numerical simulations of multiple-scales aeroacoustics problems. In regions where there are high flow gradients (jet or flow near walls), small grid sizes to resolve small scales are needed. In regions where sound dominates, larger grid sizes for long sound wave lengths may be used to save computation resources. T...

Multi-Size-Mesh, Multi-Time-Step Algorithm for Noise Computation on Curvilinear Meshes

A Modified Multi Time Step Integration for Dynamic Analysis

In this paper new implicit higher order accuracy (N-IHOA) time integration based on assumption of constant time step is presented for dynamic analysis. This method belongs to the category of the multi time step integrations. Here, current displacement and velocity are assumed to be functions of the velocities and accelerations of several previous time steps, respectively. This definition causes...

Fast Finite Element Method Using Multi-Step Mesh Process

This paper introduces a new method for accelerating current sluggish FEM and improving memory demand in FEM problems with high node resolution or bulky structures. Like most of the numerical methods, FEM results to a matrix equation which normally has huge dimension. Breaking the main matrix equation into several smaller size matrices, the solving procedure can be accelerated. For implementing ...

A new combined stable and dispersion relation preserving compact scheme for non-periodic problems

Keywords: Combined compact difference scheme DRP property Uni-and bi-directional wave propagation Stommel Ocean model Navier–Stokes solution Lid-driven cavity problem Boundary layer a b s t r a c t A new compact scheme is presented for computing wave propagation problems and Navier–Stokes equation. A combined compact difference scheme is developed for non-periodic problems (called NCCD hencefor...