Journal of Computational Physics
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#1Francesco Carlo Massa (University of Bergamo)H-Index: 5
#2Lukas Ostrowski (University of Stuttgart)H-Index: 3
Last. Christian Rohde (University of Stuttgart)H-Index: 18
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Abstract null null In this work we present a novel exact Riemann solver for an artificial Equation of State (EoS) based modification of the incompressible Euler equations. Differently from the well known artificial compressibility method, this new approach overcomes the lack of the pressure-velocity coupling by using a suitably designed artificial EoS. The modified set of equations fits into the framework of first order hyperbolic conservation laws. Accordingly, an exact Riemann solver is derive...
#1Howard C. Elman (UMD: University of Maryland, College Park)H-Index: 37
#2Jiaxing Liang (UMD: University of Maryland, College Park)
Last. Tonatiuh Sánchez-Vizuet (UA: University of Arizona)H-Index: 6
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Abstract null null In magnetic confinement fusion devices, the equilibrium configuration of a plasma is determined by the balance between the hydrostatic pressure in the fluid and the magnetic forces generated by an array of external coils and the plasma itself. The location of the plasma is not known a priori and must be obtained as the solution to a free boundary problem. The partial differential equation that determines the behavior of the combined magnetic field depends on a set of physical ...
Last. Zhijun Shen (PKU: Peking University)H-Index: 3
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Abstract null null In this work, an elastic-perfectly plastic model in two-dimensional planar geometry is studied and a new HLLC-type approximate Riemann solver (HLLCN) is put forward. The main feature of the new approximate Riemann solver is that it almost includes all stress waves, such as elastic, plastic, longitudinal and shear waves simultaneously in the presence of elastic-plastic phase transition. The analyses of the Jacobian matrix of governing equations are carried out for elasticity an...
#1Hideaki MiuraH-Index: 7
#2Fujihiro Hamba (UTokyo: University of Tokyo)H-Index: 14
Abstract null null A new sub-grid-scale model is developed for studying influences of the Hall term on macroscopic aspects of magnetohydrodynamic turbulence. Although the Hall term makes numerical simulations extremely expensive by exciting high-wave-number coefficients and makes magnetohydrodynamic equations stiff, studying macroscopic aspects of magnetohydrodynamic turbulence together with the Hall term is meaningful since this term often influences not only sub-ion-scales but also macroscopic...
#1Rochishnu Chowdhury (UCSB: University of California, Santa Barbara)
#2Raphael Egan (UCSB: University of California, Santa Barbara)H-Index: 4
Last. Frederic Gibou (UCSB: University of California, Santa Barbara)H-Index: 29
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Abstract null null We present a simple framework for calculating the electric potential by solving the nonlinear Poisson-Boltzmann equation and the free solvation energies of large biomolecules. To achieve this we build upon the work of Bochkov and Gibou null [9] null to develop a novel solver capable of solving nonlinear elliptic equations, where the diffusion coefficient, the source term, the solution and its flux are discontinuous across the interface. The interface is represented by the zero...
#1Jeff D. Eldredge (UCLA: University of California, Los Angeles)H-Index: 26
Abstract null null The immersed boundary method (IBM) of Peskin (J. Comput. Phys., 1977), and derived forms such as the projection method of Taira and Colonius (J. Comput. Phys., 2007), have been useful for simulating flow physics in problems with moving interfaces on stationary grids. However, in their interface treatment, these methods do not distinguish one side from the other, but rather, apply the motion constraint to both sides, and the associated interface force is an inseparable mix of c...
#1Wai Sun Don (Ocean University of China)H-Index: 23
#2Run Li (Ocean University of China)
Last. Yinghua Wang (Nanjing Tech University)H-Index: 1
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Abstract null null A novel, simple, robust, and effective modification in the nonlinear weights of the scale-invariant WENO operator is proposed that achieves an optimal order of accuracy with smooth function regardless of the critical point (Cp-property), a scale-invariant with an arbitrary scaling of a function (Si-property), an essentially non-oscillatory approximation of a discontinuous function (ENO-property), and, in some cases, a well-balanced WENO finite difference/volume scheme (WB-prop...
1 CitationsSource
#1Xianchao Wang (HIT: Harbin Institute of Technology)H-Index: 6
#2Yukun Guo (HIT: Harbin Institute of Technology)H-Index: 15
Last. Sara Bousba (Université de Sétif)
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Abstract null null We investigate an inverse source problem of the time-harmonic elastic wave equation. Some novel sampling-type numerical schemes are proposed to identify the moment tensor point sources in the Lame system from near-field measurements. Rigorous theoretical justifications are provided to show that the locations and moment tensors of the elastic sources can be uniquely determined from the multi-frequency displacement data. Several numerical examples are also presented to illustrat...
#2Nicolas Grenier (Université Paris-Saclay)H-Index: 2
Last. Edouard Audit (Université Paris-Saclay)H-Index: 5
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Abstract null null We present a sharp interface approach for compressible two-phase that preserves its accuracy in the low Mach regime. The interface between both fluids is captured by a Level Set function via the Ghost Fluid method. In the low Mach regime, classic Finite Volume compressible solvers lose accuracy on quadrangle or hexahedral meshes and a low Mach correction is then necessary to reduce the numerical dissipation. The sharp interface that separates both fluids, may induce an importa...
#1Supriyo Ghosh (LANL: Los Alamos National Laboratory)H-Index: 11
#2Christopher K. Newman (LANL: Los Alamos National Laboratory)H-Index: 9
Last. Marianne M. Francois (LANL: Los Alamos National Laboratory)H-Index: 20
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Abstract null null We develop a fully-coupled, fully-implicit approach for phase-field modeling of solidification in metals and alloys. Predictive simulation of solidification in pure metals and metal alloys remains a significant challenge in the field of materials science, as microstructure formation during the solidification process plays a critical role in the properties and performance of the solid material. Our simulation approach consists of a finite element spatial discretization of the f...
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Mathematical optimization
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Boundary value problem
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