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The Finite Volume Method
The previous chapters introduced the discipline known as CFD-Computational Fluid Dynamics, one of the numerical alternatives for solving engineering...
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A penalty-based cell vertex finite volume method for two-dimensional contact problems
In this paper, a penalty-based cell vertex finite volume method (P-CV-FVM) is proposed for the computation of two-dimensional contact problems. The...
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The Hermite Finite Volume Method with Global Conservation Law
We construct a high-order (cubic) Hermite finite volume method (FVM-2L) with a two-layered dual strategy on triangular meshes, which possesses the...
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Dimension by Dimension Finite Volume HWENO Method for Hyperbolic Conservation Laws
In this paper, we propose a finite volume Hermite weighted essentially non-oscillatory (HWENO) method based on the dimension by dimension framework...
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An entropy stable finite volume method for a compressible two phase model
We study a binary mixture of compressible viscous fluids modelled by the Navier-Stokes-Allen-Cahn system with isentropic or ideal gas law. We propose...
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Finite Volume Methods
We use Burgers equation to illustrate how the methods based on finite difference approximations fail to resolve IVP involving quasilinear PDEs. We...
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A Stable Finite Volume Method for Numerical Solution of Time-Tempered Fractional Sine–Gordon Equations
This paper proposes a numerical method based on the finite volume method for solving the time-tempered fractional sine–Gordon equation. To overcome...
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Optimized Schwarz and Finite Volume Cell-Centered Method for Heterogeneous Problems
This paper focuses on the optimized Schwarz Waveform Relaxation (OSWR) method for a model problem with discontinuous coefficients. The numerical...
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An adaptive discontinuous finite volume element method for the Allen-Cahn equation
In this paper, the discontinuous finite volume element method (DFVEM) is considered to solve the Allen-Cahn equation which contains strong...
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Topology optimization of simplified convective heat transfer problems using the finite volume method
Topology optimization of simplified convective heat transfer has been widely studied, but most existing studies are based on the finite element...
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A Second-Order Finite Volume Method for Field-Scale Reservoir Simulation
Subsurface reservoirs are large complex systems. Reservoir flow models are defined on complex grids that follow geology with relatively large block...
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Finite volume form factors in integrable theories
We develop a new method to calculate finite size corrections for form factors in two-dimensional integrable quantum field theories. We extract these...
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Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations
In this paper, we propose a new positive finite volume scheme for degenerate parabolic equations with strongly anisotropic diffusion tensors. The key...
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An Upwind Mixed Finite Volume Element-fractional Step Method and Convergence Analysis for Three-dimensional Compressible Contamination Treatment from Nuclear Waste
In this paper the authors discuss a numerical simulation problem of three-dimensional compressible contamination treatment from nuclear waste. The...
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Application of arbitrary Lagrangian–Eulerian unstructured finite volume lattice Boltzmann method to simulate compressible viscous flows over moving bodies
In this work, a central difference unstructured finite volume lattice Boltzmann method (FVLBM) in an arbitrary Lagrangian–Eulerian (ALE) framework is...
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Adaptive Parallel Average Schwarz Preconditioner for Crouzeix-Raviart Finite Volume Method
In this paper, we describe and analyze an Average Schwarz Method with spectrally enriched coarse space for a Crouzeix-Raviart finite volume element...
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Enforcing conserved quantities in Galerkin truncation and finite volume discretization
Finite-dimensional truncations are routinely used to approximate partial differential equations (PDEs), either to obtain numerical solutions or to...
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Nonlinear Finite Volume Method for the Interface Advection-Compression Problem on Unstructured Adaptive Meshes
AbstractThe paper is devoted to the nonlinear finite volume method applied for tracking interfaces on unstructured adaptive meshes. The fluid of...
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A coupled finite-volume immersed boundary method for the simulation of bioheat transfer in 3D complex tumor
Numerical schemes based on the immersed boundary method (IBM) offer the advantages of avoiding the body-conformal structured or unstructured grid...
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A Light Weight Traffic Volume Prediction Approach Based on Finite Traffic Volume Data
As one of the key technologies of intelligent transportation systems, short-term traffic volume prediction plays an increasingly important role in...