We present a new multi–fluid, grid MHD code PIERNIK, which is based on the Relaxing TVD scheme. The original scheme has been extended by an addition of dynamically independent, but interacting fluids: dust and a diffusive cosmic ray gas, described within the fluid approximation, with an option to add other fluids in an easy way. The code has been equipped with shearing–box boundary conditions, ...

We examine the application of a new implicit unconditionallystable high-resolution TVD scheme to steady-state calculations. It is a member of a one-parameter family of explicit and implicit second-order accurate schemes developed by Harten for the computation of weak solutions of one-dimensional hyperbolic conservation laws. This scheme is guaranteed not to generate spurious oscillations for a ...

A water surface slope limiting scheme is tested and compared with the water depth slope limiter for the solution of one dimensional shallow water equations with bottom slope source term. Numerical schemes based on the total variation diminishing RungeKutta discontinuous Galerkin finite element method with slope limiter schemes based on water surface slope and water depth are used to solve one-d...

We compare the results of numerical simulations of thin and quasi-spherical (thick) accretion flows with existing analytical solutions. We use a Lagrangian code based on the Smooth Particle Hydrodynamics (SPH) scheme and an Eulerian finite difference code based on the Total Variation Diminishing (TVD) scheme. In one-dimensional thin flows, the results of the simulations, with or without shocks,...

Cutting Fluid mist produced during machining operations is receiving increased attention by industry becasue of its adverse health effects. Thus, it is desired to obtain a fundamental understanding of the mechanisms that underlie mist formation. This knowledge can be used as a tool to design machining processes or systems that reduce the formation of cutting fluid mist and hence, the health haz...

In the present paper a fourth/fifth order upwind biased limiting strategy is presented for the simulation of turbulent flows and combustion. Because high order numerical schemes usually suffer from stability problems and TVD approaches often prevent convergence to machine accuracy the multi-dimensional limiting process (MLP) [1] is employed. MLP uses information from diagonal volumes of a discr...

A new code, named MAP, is written in FORTRAN language for magnetohydrodynamics (MHD) calculation with the adaptive mesh refinement (AMR) and Message Passing Interface (MPI) parallelization. There are several optional numerical schemes for computing the MHD part, namely, modified Mac Cormack Scheme (MMC), Lax-Fridrichs scheme (LF) and weighted essentially non-oscillatory (WENO) scheme. All of th...

We have quantified levels of CD105, its ligand TGFb and receptor-ligand complexes in sera from healthy individuals (n=31), patients with triple vessel disease documented by coronary angiography (TVD; n=36) and patients with chest pain and a positive exercise electrocardiogram but with normal coronary angiogram (NCA; n=30). Both active TGFb1 and active plus acid-activatable TGFb1 [(a+ l)TGFb1] w...

We have developed a new computer code, RAM, to solve the conservative equations of special relativistic hydrodynamics (SRHD) using adaptive mesh refinement (AMR) on parallel computers. We have implemented a characteristic-wise, finite difference, weighted essentially non-oscillatory (WENO) scheme using the full characteristic decomposition of the SRHD equations to achieve fifth order accuracy i...