Zobrazeno 1 - 10
of 386
pro vyhledávání: '"Frankel, Steven"'
Autor:
E, Dinesh Kumar, Frankel, Steven H.
We propose a quantum algorithm to tackle the quadratic nonlinearity in the Lattice Boltzmann (LB) collision operator. The key idea is to build the quantum gates based on the particle distribution functions (PDF) within the coherence time for qubits.
Externí odkaz:
http://arxiv.org/abs/2408.00387
In this study, we introduce a robust central Gradient-Based Reconstruction (GBR) scheme for the compressible Navier-Stokes equations. The method leverages transformation to characteristic space, allowing selective treatment of waves from the compress
Externí odkaz:
http://arxiv.org/abs/2405.11376
Autor:
Kumar, E. Dinesh, Frankel, Steven H.
In the present contribution, we propose a quantum unitary matrix representation for the Lattice Boltzmann Method (LBM) to simulate fluid flows in the low Reynolds number ($Re$) regime. Since the particle distribution functions are encoded as probabil
Externí odkaz:
http://arxiv.org/abs/2405.08669
In this paper, we propose a new set of midpoint-based high-order discretization schemes for computing straight and mixed nonlinear second derivative terms that appear in the compressible Navier-Stokes equations. Firstly, we detail a set of convention
Externí odkaz:
http://arxiv.org/abs/2312.12069
In this work, we propose a novel selective discontinuity sensor approach for numerical simulations of the compressible Navier-Stokes equations. Since transformation to characteristic space is already a common approach to reduce high-frequency oscilla
Externí odkaz:
http://arxiv.org/abs/2305.08369
Accurate high-speed flow simulations of practical interest require numerical methods with high-resolution properties. In this paper, we present an extension and demonstration of the high-accuracy Gradient-based reconstruction and $\alpha$-damping sch
Externí odkaz:
http://arxiv.org/abs/2303.10785