Journal of Computational Physics

• A generalized particle shifting technique applicable to both 2D and 3D multiphase flows.

This contribution outlines a multiphase flow solution method developed in conjunction with the incompressible smoothed particle hydrodynamics (SPH) discretization. We present (a) a generalized multiphase particle shifting technique ...

• Topology optimization of elastic structures, governed by a nonlinear gradient damage model.

In the framework of the level-set method we propose a topology optimization algorithm for linear elastic structures which can exhibit fractures. In the spirit of Griffith theory, brittle fracture is modeled by the Francfort-Marigo ...

Multiphase flow in fractured porous media can be described by discrete fracture matrix models that represent the fractures as dimensionally reduced manifolds embedded in the bulk porous medium. Generalizing earlier work on this ...

• Discrete fracture model for immiscible two-phase flow with time-dependent geometries.

With the capability of accurately representing a functional relationship between the inputs of a physical system's model and output quantities of interest, neural networks have become popular for surrogate modeling in scientific ...

• l1-regularization to train neural network surrogates for uncertainty propagation.

This article presents a massively parallel and robust strategy to perform the simulation of turbulent incompressible two-phase flows on unstructured grids in complex geometries. This strategy relies on a combination of a narrow-band ...

• Convergence and robustness of the unstructured ACLS interface-capturing technique are demonstrated.

We propose fully explicit projective integration and telescopic projective integration schemes for the multispecies Boltzmann and Bhatnagar-Gross-Krook (BGK) equations. The methods employ a sequence of small forward-Euler steps, ...

• For polynomial case, we prove unconditional stability of Strang-splitting.
• We ...

We consider a class of second-order Strang splitting methods for Allen-Cahn equations with polynomial or logarithmic nonlinearities. For the polynomial case both the linear and the nonlinear propagators are computed explicitly. We show ...

• Meshfree Arbitrary-Lagrangian-Eulerian method for the BGK model of the Boltzmann equation.

In this paper we present a novel technique for the simulation of moving boundaries and moving rigid bodies immersed in a rarefied gas using an Eulerian-Lagrangian formulation based on least square method. The rarefied gas is simulated ...

• Highlight of this paper The highlight of the paper is in the following aspects.

We propose a low-rank tensor approach to approximate linear transport and nonlinear Vlasov solutions and their associated flow maps. The approach takes advantage of the fact that the differential operators in the Vlasov equation are ...

There is a growing interest in developing data-driven subgrid-scale (SGS) models for large-eddy simulation (LES) using machine learning (ML). In a priori (offline) tests, some recent studies have found ML-based data-driven SGS models ...

• Better subgrid-scale (SGS) models for large-eddy simulation (LES) are needed.
• A ...

A double-flux model for preconditioned systems was developed for supercritical multi-component flows under low Mach-number conditions. The mechanism of spurious oscillations in a preconditioned system was classified based on the ...

• The spurious oscillations in the preconditioned system were investigated.
• ...

• p-adaptation for the incompressible Navier-Stokes/Cahn-Hilliard system with high order discontinuous Galerkin discretization.

We develop a novel entropy–stable discontinuous Galerkin approximation of the incompressible Navier–Stokes/Cahn–Hilliard system for p–non–conforming elements. This work constitutes an evolution of the work presented by Manzanero et al. ...

A new class of time discretization schemes for the Navier-Stokes equations with non-periodic boundary conditions is constructed by combining the SAV approach for general dissipative systems in [15] and the consistent splitting schemes ...

• A new class of time discretization schemes for the NS equations is constructed.

We propose a new high-order multi-stage method to solve the linear wave equation in an unconditionally energy stable manner. This Successive Multi-Stage (SMS) method is extended from the Crank–Nicolson method and unconditional energy ...

• A new energy conserving high order method to solve the linear wave equation is proposed.

• Fast Calderon preconditioners are presented for Maxwell transmission problems.
• ...

We investigate a range of techniques for the acceleration of Calderón (operator) preconditioning in the context of boundary integral equation methods for electromagnetic transmission problems. Our objective is to mitigate as far as ...

• Existing methods are described in consistent notations, with focus on error control.

A review of the existing methods to compute the minimal distance between two ellipsoids has been conducted in order to retain the most adequate one within the context of Particle-Resolved Direct Numerical Simulations for particle-laden ...

In this work, we establish the energy stability of high-order L2-type schemes for time-fractional phase-field equations. We propose a reformulation of the discrete L2 operator, show the monotonicity of some associated coefficients, and ...

• A reformulation of L2 approximation is introduced for monotonicity.
• Two ...

• A series of finite element methods with different averaging techniques are proposed and compared.

Obtaining a satisfactory numerical solution of the classical three-dimensional drift-diffusion (DD) model, widely used in semiconductor device simulations, is still challenging nowadays, especially when the convection dominates the ...

• A new anisotropic block-based adaptive mesh refinement technique for 3D flows.
• ...

A parallel anisotropic block-based adaptive mesh refinement (AMR) algorithm is proposed for the prediction of physically complex flow problems having disparate spatial and temporal scales and exhibiting highly anisotropic features on ...

• Derived a new class of nonlinearly stable flux reconstruction schemes in split form.

The flux reconstruction (FR) method has gained popularity in the research community as it recovers promising high-order methods through modally filtered correction fields, such as the discontinuous Galerkin method, amongst others, on ...

• We derive nonlocal energy conversation law for nonlocal Klein-Gordon-Schrödinger system.

The aim of this paper is to construct a linearized and energy-conserving numerical scheme for nonlocal-in-space Klein-Gordon-Schrödinger system in multi-dimensional unbounded domains R d (d = 1 , 2, and 3), where the nonlocal property ...

• The pressure term follows directly from a first-principles form of the pressure force.

This paper begins a development of methods for addressing variable bottom topography in discontinuous Galerkin numerical methods for multi-layer, variable-density models of ocean circulation. For numerical models of ocean circulation, ...

Multiphysics applications often require the use of intimately coupled solvers. The application studied here makes use of an Eulerian solver to model fluid flow and combustion and a Lagrangian solver to model spray droplets. These are ...

• Efficient communication between Eulerian and Lagrangian solvers through one-sided shared memory communication.

• A numerical model and its implementation to solve a three-phase flows with phase change is proposed.

A numerical scheme to simulate three-phase fluid flows with phase change is proposed. By combining the Cahn-Hilliard model for water-air interface, Allen-Cahn equation for ice and fluid and Navier-Stokes equation for momentum, we solve ...

• Efficient dynamic relaxation method for Smoothed Particle Hydrodynamics.
• ...

In this paper, we propose an efficient dynamic relaxation method for smoothed particle hydrodynamics (SPH) to address the time-consuming issue when dealing with achieving the equilibrium of a dynamic system. First, an artificial-...

In the current study, an improved numerical model is proposed in the compressible fields based on Smoothed Particle Hydrodynamics (SPH), which is comprised of MUSCL interpolation in multiphase flow, enhanced particle regeneration ...

• An enhanced particle regeneration technique is proposed to simulate compressible multiphase flows based on SPH.

Nonlinear model order reduction has opened the door to parameter optimization and uncertainty quantification in complex physics problems governed by nonlinear equations. In particular, the computational cost of solving these equations ...

• Clustering algorithms can be used to build dictionaries of local reduced-order models for nonlinear model order reduction.

• We propose a meta-learning technique for offline discovery of physics-informed neural network (PINN) loss functions.

We propose a meta-learning technique for offline discovery of physics-informed neural network (PINN) loss functions. We extend earlier works on meta-learning, and develop a gradient-based meta-learning algorithm for addressing diverse ...