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• W124259380 abstract "We have developed an electromagnetic particle simulation code with an unstructred-grid coordinate. This code solves Maxwell's equations which is discretized with triangular elements in 2D simulation space. Plasma particles are also traced by solving the equations of motion with the Buneman-Boris method. The main advantage of this code is the adaptability of modeling more realistic shape of a spacecraft than the orthogonal grid code. Thus, this simulation code is suitable for analyzing the plasma environment in the vicinity of a spacecraft especially in the region within a Debye length from the surface of the spacecraft. We will show the scheme of this code and also show a couple of results from the test simulation runs taking into account of a realistic shape of a spacecraft. Introduction: Plasma particle simulations are extensively used by many authors. As an example of the simulation codes, KEMPO (Matsumoto and Omura [1984] and Omura [1985]) provides a good experimental environment for modeling the fundamental space plasma physics and the non-linear plasma physics. Recent modif ications allow us to include the internal boundaries within the experimental space (Tanaka [1989]). Spacecraft design requires more complicated shape to estimate the actual noise level of the scientif ic instruments. GEOTAIL, for example, is designed as a cylindrical shape. Two masts are extended from the side of the body. The solar panels are also attached on side of the cylindrical body. It was concerned that the noise may be generated by the solar panels because the shadow of the masts cuts the current of the solar panels. Solar Probe is another good example for us to find diff iculties on modeling the spacecraft environment. Solar Probe has a heat shield on top of the scientif ic instruments in order to protect the instruments from the solar radiation. Although we have a couple of choice for the material we are going to use for the heat shield, the cost will highly depends on the material. Decision has to be made on the balance between the cost and the scientif ic return. A main concern of the engineers is the electromagnetic environment of the scientif ic instruments at the perihelion (4RS ). We have to estimate how it works and how the environment will be modif ied by the carbon emission from the heat shield. This is the major motivation for developing a new code, which can handle arbitrary shape of a spacecraft. Algorithms to solve electromagnetic field in the irregular mesh have been introduced by Seldner et al [1988]. In order to interpolate field quantities, a twodimensional area-sharing method was used. The main shortcoming of this method is ineff iciency and inaccuracy that arises when mesh with large variations in element size are employed. Pointon [1991] introduced a method to handle slanted conducting boundaries. This algorithm can easily be applied to most relativistic electromagnetic particle codes which use the orthogonal grids. Although this method can easily be applied to existing simulation codes which adopt the orthogonal coordinate system, this method can not be applied to a curved boundary. We adopt triangular coordinate system for the field mesh, both for the electric f ield and the magnetic fields. This triangular coordinate system can be used for model to fit any shape of the internal and/or the external boundary. A method to solve Poisson's equation in the triangular mesh is well known with the finite element method (FEM). A main shortcoming of this method is that the discretization method of space is not suitable for the time-dependent system. We have developed a new discretization algorithm for the time-dependent triangular coordinate system. As for a model of particles, Matsumoto and Kawata [1990] have introduced a particle-in-cell model using triangular-mesh for the magnetostatic fields. They adopted a circular shape function for the charged particles with a finite radius. Solving the electromagnetic field self-consistently is indispensable for the evaluation of the electromagnetic environment in space plasmas. Abe et al. [1986] showed that a higher order spline interpolation removes the limit of the maximum grid spacing relative to the Debye length. The application of the higher order shape function to the triangular grid system is not necessary for the current objectives. For simplicity, we adopt the linear area sharing scheme for the shape function to obtain the charge density and the current density. Scheme: Basic equations we solve are the Maxwell equations as shown in equations (1)-(4). Electric and magnetic fields are def ined at the staggered time steps with a time difference of ∆ t/2, where the ∆ t is the time step of the simulation. (1)" @default.
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• W124259380 date "2001-11-01" @default.
• W124259380 modified "2023-09-24" @default.
• W124259380 title "Electromagnetic Particle Simulation with Unstructured-Grid Model" @default.
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