BHOLE , Ashish

The tokamak is one of the promising systems developed to harness fusion energy. A tokamak is a toroidal chamber in which a hot plasma is magnetically confined. For tokamaks to function properly, it is desirable that the plasma remain in an equilibrium configuration. Confinement failures, called disruptions, are unavoidable and undesirable...

The tokamak is one of the promising systems developed to harness fusion energy. A tokamak is a toroidal chamber in which a hot plasma is magnetically confined. For tokamaks to function properly, it is desirable that the plasma remain in an equilibrium configuration. Confinement failures, called disruptions, are unavoidable and undesirable...

The tokamak is one of the promising systems developed to harness fusion energy. A tokamak is a toroidal chamber in which a hot plasma is magnetically confined. For tokamaks to function properly, it is desirable that the plasma remain in an equilibrium configuration. Confinement failures, called disruptions, are unavoidable and undesirable...

We are concerned with the numerical approximation of an incompressible ionized gas (plasma) flowing in a toroidal geometry. We also assume that the flow is independent of the toroidal coordinate and the resulting model is thus 2-D. We consider a symmetric formulation, the so-called Reduced Resistive MHD model, where the governing equation gives...

In this paper we propose a fluctuation splitting finite volume scheme for a non-conservative modeling of shear shallow water flow (SSWF). This model was originally proposed by Teshukov (2007) in [14] and was extended to include modeling of friction by Gavrilyuk et al. (2018) in [7]. The directional splitting scheme proposed by Gavrilyuk et al....

Finite elements of class C1 are suitable for the computation of magnetohydrodynamics instabilities in tokamak plasmas. In addition, isoparametric approximations allow for a precise alignment of the mesh with the magnetic field line. Mesh alignment is crucial to achieve axisymmetric equilibria accurately. It is also helpful to deal with the...

The shear shallow water model provides a higher order approximation for shallow water flows by including the effect of vertical shear in the model. This model can be derived from the depth averaging process by including the second order velocity fluctuations which are neglected in the classical shallow water approximation. The resulting model...

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We propose a numerical treatment for the geometric singularity at the polar grid center encountered in the application of the isoparametric bi-cubic Hemite Bézier finite element method. The treatment applies a set of new basis functions at the polar grid center in the numerical algorithm where the new basis functions are simply the linear...

Development of a numerical tool based upon the high-order, high-resolution Galerkin finite element method (FEM) often encounters two challenges: First, the Galerkin FEMs give central approximations to the differential operators and their use in the simulation of the convectiondominated flows may lead to the dispersion errors yielding entirely...

Non-linear magnetohydrodynamic (MHD) simulations play an essential role in active research and understanding of tokamak plasmas for the realization of a fusion power plant. The development of MHD codes such as JOREK is a key aspect of this research effort. In this paper, we present an operational version of the full-MHD model implemented in...

JOREK is a massively parallel fully implicit non-linear extended magneto-hydrodynamic(MHD) code for realistic tokamak X-point plasmas. It has become a widely used versatile simulation code for studying large-scale plasma instabilities and their control and is continuously developed in an international community with strong involvements in the...