# What is an adjoint solver?

## What is an adjoint solver?

The Adjoint Solver is a specialized CFD tool that allows the users to obtain detailed sensitivity data for the performance of a fluid dynamic system.

**What is adjoint shape optimization?**

• Adjoint Optimization. ‐ Finds an optimal shape for a given operating condition ‐ Derive the optimal shape from a baseline CFD flow calculation.

### What is adjoint solver in Ansys?

Adjoint Solver — a free add-on module available with Ansys Fluent — enables shape optimization in a smart and automatic way with minimal turnaround time. Using its unique sensitivity-based algorithm, Adjoint Solver helps optimize your existing design and export the morphed geometry.

**What is adjoint of a matrix?**

The adjoint of a matrix (also called the adjugate of a matrix) is defined as the transpose of the cofactor matrix of that particular matrix. For a matrix A, the adjoint is denoted as adj (A). On the other hand, the inverse of a matrix A is that matrix which when multiplied by the matrix A give an identity matrix.

#### What is adjoint CFD?

The adjoint method has long been considered as the tool of choice for gradient-based optimisation in computational fluid dynamics (CFD). It is the independence of the computational cost from the number of design variables that makes it particularly attractive for problems with large design spaces.

**What is adjoint method?**

The adjoint state method is a numerical method for efficiently computing the gradient of a function or operator in a numerical optimization problem. It has applications in geophysics, seismic imaging, photonics and more recently in neural networks.

## What is an adjoint model?

A model composed of adjoint equations that maps a sensitivity gradient vector, ∇xJ(t0) = 𝗟T∇xJ(t1) , from a forecast time, t1, to an earlier time, t0, which can be the initial time of a forecast trajectory.

**What is the formula of adjoint?**

Let A=[aij] be a square matrix of order n . The adjoint of a matrix A is the transpose of the cofactor matrix of A . It is denoted by adj A .